Subjects -> MATHEMATICS (Total: 1100 journals)
    - APPLIED MATHEMATICS (88 journals)
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    - MATHEMATICS (812 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (24 journals)
    - PROBABILITIES AND MATH STATISTICS (110 journals)

MATHEMATICS (812 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics     Hybrid Journal   (Followers: 70)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 3)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 13)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 6)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 8)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 15)
Journal of Turbulence     Hybrid Journal   (Followers: 8)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 4)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 5)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 3)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 23)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Models in Engineering     Open Access   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 3)
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)

  First | 1 2 3 4 5     

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Journal of the Nigerian Mathematical Society
Number of Followers: 1  

  This is an Open Access Journal Open Access journal
ISSN (Print) 0189-8965
Published by Elsevier Homepage  [3203 journals]
  • Some extensions and generalizations of Eneström–Kakeya theorem

    • Authors: A.A. Mogbademu; S. Hans; J.A. Adepoju
      Pages: 243 - 248
      Abstract: Publication date: Available online 1 April 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): A.A. Mogbademu , S. Hans , J.A. Adepoju
      In this paper, we put restrictions on the coefficients of a polynomial in order to improve the bounds for their zeros in a specific region. Our results extend and generalise a number of previously well known theorems including Eneström–Kakeya theorem.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2015.03.002
      Issue No: Vol. 34, No. 3 (2015)
       
  • On common fixed points and multipled fixed points of contractive mappings
           in metric-type spaces

    • Authors: Hallowed Olaoluwa; Johnson Olaleru
      Pages: 249 - 258
      Abstract: Publication date: Available online 17 June 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Hallowed Olaoluwa , Johnson Olaleru
      This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone b -metric spaces. The main result obtained unifies, improves and generalizes several results in literature including those of Abbas et al. (2010) and Huang and Xu (2012). Furthermore, as a way of applications, the result is used to discuss common coupled, tripled and multipled fixed points of contractive maps defined on cone b -metric spaces, via product cone b -metric spaces.

      PubDate: 2015-06-23T00:33:14Z
      DOI: 10.1016/j.jnnms.2015.06.001
      Issue No: Vol. 34, No. 3 (2015)
       
  • Existence results for a fourth order multipoint boundary value problem at
           resonance

    • Authors: S.A. Iyase
      Pages: 259 - 266
      Abstract: Publication date: Available online 1 September 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): S.A. Iyase
      In this paper we present some existence results for a fourth order multipoint boundary value problem at resonance. Our main tools are based on the coincidence degree theory of Mawhin.

      PubDate: 2015-09-04T02:17:21Z
      DOI: 10.1016/j.jnnms.2015.08.003
      Issue No: Vol. 34, No. 3 (2015)
       
  • Numerical solution for hydromagnetic boundary layer flow and heat transfer
           past a stretching surface embedded in non-Darcy porous medium with
           fluid-particle suspension

    • Authors: B.J. Gireesha; B. Mahanthesh; P.T. Manjunatha; R.S.R. Gorla
      Pages: 267 - 285
      Abstract: Publication date: Available online 21 August 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): B.J. Gireesha, B. Mahanthesh, P.T. Manjunatha, R.S.R. Gorla
      This paper investigates the problem of MHD boundary layer flow and heat transfer of an electrically conducting dusty fluid over an unsteady stretching surface through a non-Darcy porous medium. The flow in porous medium is described by employing the Darcy–Forchheimer based model. The unsteadiness in the flow and temperature fields are because of time-dependent stretching velocity and surface temperature. The effect of thermal radiation, viscous dissipation and non-uniform heat source/sink are also taken into account. The pertinent time-dependent equations, governing the flow and heat transfer are reduced into a set of non-linear ordinary differential equations with the aid of suitable similarity transformations. The transformed equations are numerically integrated using fourth–fifth order Runge–Kutta–Fehlberg method. The effects of various physical parameters on the velocity and temperature profiles of both phases are analyzed through several plots. Obtained numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. It is found that, by suspending fine dust particles in the clean fluid reduces the thermal boundary layer thickness. Therefore, the dusty fluids are preferable in engineering and scientific applications, involving cooling processes.

      PubDate: 2015-08-24T15:45:58Z
      DOI: 10.1016/j.jnnms.2015.07.003
      Issue No: Vol. 34, No. 3 (2015)
       
  • Numerical solution of heat conduction problems using orthogonal
           collocation on finite elements

    • Authors: Shelly Arora; Inderpreet Kaur
      Pages: 286 - 302
      Abstract: Publication date: Available online 1 November 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Shelly Arora, Inderpreet Kaur
      Technique of orthogonal collocation along with finite elements has been presented to solve the linear and non linear heat conduction problems numerically. Choice of Lagrangian interpolation polynomials as base function has been opted to discretize the trial function. Error analysis has been discussed in terms of element size for both the linear and non linear problems. Proposed technique has been applied on different types of linear and non linear heat conduction problems and the numerical values are plotted using 2D and 3D graphs.

      PubDate: 2015-11-03T22:01:06Z
      DOI: 10.1016/j.jnnms.2015.10.001
      Issue No: Vol. 34, No. 3 (2015)
       
  • Mathematical model for velocity and temperature of gravity-driven
           convective optically thick nanofluid flow past an oscillating vertical
           plate in presence of magnetic field and radiation

    • Authors: Hari R. Kataria; Akhil S. Mittal
      Pages: 303 - 317
      Abstract: Publication date: Available online 19 September 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Hari R. Kataria, Akhil S. Mittal
      Analytic expression for unsteady hydromagnetic boundary layer flow past an oscillating vertical plate in optically thick nanofluid in presence of thermal radiation and uniform transverse magnetic field is obtained. The Rosseland diffusion flux model is adopted to simulate thermal radiation effects. The momentum and energy conservation equations are made dimensionless and analytic solution is obtained using the Laplace transform. The results for velocity and temperature are obtained and plotted graphically. It is found that the velocity of the nanofluid increases with radiation parameter Nr, Grashof number Gr and time while decreases with increase in magnetic field and Prandtl number Pr. Temperature of nano-fluids increases with time while decrease with increase in Nr and Pr.

      PubDate: 2015-09-24T20:10:38Z
      DOI: 10.1016/j.jnnms.2015.08.005
      Issue No: Vol. 34, No. 3 (2015)
       
  • Temperature dependent viscosity and thermal conductivity effects on
           hydromagnetic flow over a slendering stretching sheet

    • Authors: S.P. Anjali Devi; M. Prakash
      Pages: 318 - 330
      Abstract: Publication date: Available online 14 August 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): S.P. Anjali Devi, M. Prakash
      The primary focus of this work is to numerically investigate the influence of temperature dependent viscosity and thermal conductivity on hydromagnetic flow over slendering stretching sheet. In the process held at high temperature like glass blowing, the fluid properties like viscosity and thermal conductivity may gets influenced in such temperature which motivated us to analyze those kind of problem. Considering steady, two dimensional, nonlinear, laminar flow of an incompressible, viscous and electrically conducting fluid over a stretching sheet with variable thickness in the presence of variable magnetic field. Numerical computations are carried out for various values of the physical parameters and the effects over the velocity and temperature are analyzed. Numerical values of dimensionless skin friction coefficient and non-dimensional rate of heat transfer are also obtained and presented in tabulated form. It is noticed that, in additional to the magnetic field there are two more regulators which can manipulate to maintain the optimal heat for the glass blowing process to attain required shapes.

      PubDate: 2015-08-20T12:32:08Z
      DOI: 10.1016/j.jnnms.2015.07.002
      Issue No: Vol. 34, No. 3 (2015)
       
  • The flow of second grade fluid over a stretching sheet with variable
           thermal conductivity and viscosity in the presence of heat source/sink

    • Authors: Temitope E. Akinbobola; Samuel S. Okoya
      Pages: 331 - 342
      Abstract: Publication date: Available online 11 November 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Temitope E. Akinbobola, Samuel S. Okoya
      Steady two-dimensional non-Newtonian second grade fluid is studied under the influence of temperature dependent viscosity and thermal conductivity. The viscosity is assumed to vary inversely as linear function of temperature while the thermal conductivity varies directly as linear function of temperature. Also, effects of radiative heat, viscous dissipation and heat source/sink are considered in the energy equation. The basic governing partial differential equations for the velocity and temperature are transformed to ordinary differential equations (ODEs) using appropriate similarity variables. These coupled nonlinear ODEs have been solved approximately subject to appropriate boundary conditions by Runge–Kutta shooting technique. The quantitative effects of emerging dimensionless physical parameters on the velocity, temperature, skin friction and heat transfer rate are displayed graphically. The numerical investigation of the variable thermo-physical properties of a second grade fluid over a stretching sheet provides an extension to previous work.

      PubDate: 2015-11-14T06:52:09Z
      DOI: 10.1016/j.jnnms.2015.10.002
      Issue No: Vol. 34, No. 3 (2015)
       
  • Dufour and soret effects on steady MHD convective flow of a fluid in a
           porous medium with temperature dependent viscosity: Homotopy analysis
           approach

    • Authors: A.J. Omowaye; A.I. Fagbade; A.O. Ajayi
      Pages: 343 - 360
      Abstract: Publication date: Available online 28 August 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): A.J. Omowaye, A.I. Fagbade, A.O. Ajayi
      This paper presents the analytical solution to a steady two-dimensional hydromagnetic flow of a viscous incompressible, electrically conducting fluid past a semi-infinite moving permeable plate embedded in a porous medium. It is assumed that the fluid properties are constant except for the fluid viscosity which vary as an inverse linear function of temperature. The boundary layer equations are transformed in to a coupled ordinary differential equations with the help of similarity transformations. The resulting coupled ordinary differential equations were solved using the Homotopy Analysis Method (HAM). The combined effects of Dufour and Soret was investigated and presented graphically with controlling pertinent physical parameters.

      PubDate: 2015-08-29T21:27:10Z
      DOI: 10.1016/j.jnnms.2015.08.001
      Issue No: Vol. 34, No. 3 (2015)
       
  • Nested balanced incomplete block designs of harmonised series

    • Authors: A.J. Saka; B.L. Adeleke
      Pages: 369 - 376
      Abstract: Publication date: Available online 1 September 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): A.J. Saka, B.L. Adeleke
      Block designs are useful in comparative experimentation for improving efficiency of treatment comparisons when working with heterogeneous experimental units. A nested balanced incomplete block design (NBIBD) is a design with two systems of blocks, the second nested within the first, such that ignoring either system leaves a balanced incomplete block design whose blocks are those of the other system. In this study, a new method of construction of nested balanced incomplete block designs for a number of parameter combinations is developed. The resulting design schemes were of the type that harmonizes both the Series-I and Series-II of Rajender et al. (2007) in which a single design scheme that can be used in the construction of both the Series-I and Series-II at the same time was produced.

      PubDate: 2015-09-04T02:17:21Z
      DOI: 10.1016/j.jnnms.2015.08.002
      Issue No: Vol. 34, No. 3 (2015)
       
  • Third Hankel determinant for bounded turning functions of order alpha

    • Authors: D. Vamshee Krishna; B. Venkateswarlu; T. RamReddy
      Pages: 121 - 127
      Abstract: Publication date: Available online 1 April 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): D. Vamshee Krishna , B. Venkateswarlu , T. RamReddy
      The objective of this paper is to obtain an upper bound to the Third Hankel determinant denoted by H 3 ( 1 ) for certain subclass of univalent functions, using Toeplitz determinants.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2015.03.001
      Issue No: Vol. 34, No. 2 (2015)
       
  • Implicit two-derivative Runge–Kutta collocation methods for systems
           of initial value problems

    • Authors: D.G. Yakubu; A.M. Kwami
      Pages: 128 - 142
      Abstract: Publication date: Available online 7 February 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): D.G. Yakubu , A.M. Kwami
      We introduce a new class of implicit two-derivative Runge–Kutta collocation methods designed for the numerical solution of systems of equations and show how they have been implemented in an efficient parallel computing environment. We also discuss the difficulty associated with large systems and how, in this case, one must take advantage of the second derivative terms in the methods. We consider two modified versions of the methods which are suitable for solving stable systems. The first modification involves the introduction of collocation at the two end points of the integration interval in addition to the Gaussian interior collocation points and the second involves the introduction of a different class of basic second derivative methods. With these modifications, fewer function evaluations per step are achieved, resulting into methods that are cheap and easy to implement. The stability properties of these methods are investigated and numerical results are given for each of the modified version to illustrate the computational efficiency of the modified methods.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2015.01.001
      Issue No: Vol. 34, No. 2 (2015)
       
  • A family of Continuous Third Derivative Block Methods for solving stiff
           systems of first order ordinary differential equations

    • Authors: O.A. Akinfenwa; B. Akinnukawe; S.B. Mudasiru
      Pages: 160 - 168
      Abstract: Publication date: Available online 27 June 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): O.A. Akinfenwa , B. Akinnukawe , S.B. Mudasiru
      This paper presents a family of Continuous Third Derivative Block Methods (CTDBM) of order k + 3 for the solution of stiff systems of ordinary differential equations. The approach uses the collocation and interpolation technique to generate the main Continuous Third Derivative method (CTDM) which is then used to obtain the additional methods that are combined as a single block methods. Analysis of the methods show that the method is L-stable up to order eight. Numerical examples are given to illustrate the accuracy and efficiency of the proposed method.

      PubDate: 2015-06-28T15:31:30Z
      DOI: 10.1016/j.jnnms.2015.06.002
      Issue No: Vol. 34, No. 2 (2015)
       
  • Radiation, inclined magnetic field and cross-diffusion effects on flow
           over a stretching surface

    • Authors: C.S.K. Raju; N. Sandeep; C. Sulochana; V. Sugunamma; M. Jayachandra Babu
      Pages: 169 - 180
      Abstract: Publication date: Available online 4 April 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): C.S.K. Raju , N. Sandeep , C. Sulochana , V. Sugunamma , M. Jayachandra Babu
      The steady two-dimensional flow over a vertical stretching surface in presence of aligned magnetic field, cross-diffusion and radiation effects are considered. The governing partial differential equations are transformed to nonlinear ordinary differential equation by using similarity transformation and then solved numerically by using bvp4c with MATLAB package. The effects of various non-dimensional governing parameters on velocity, temperature, concentration profiles along friction factor, Nusselt and Sherwood numbers are discussed and presented through graphs and tables’.We observed that increase in aligned angle strengthen the magnetic field and decreases the velocity profile of the flow and enhances the heat transfer rate. Comparisons with existed results are presented.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2015.02.003
      Issue No: Vol. 34, No. 2 (2015)
       
  • MHD radiative boundary layer flow of nanofluid past a vertical plate with
           internal heat generation/absorption, viscous and ohmic dissipation effects
           

    • Authors: B. Ganga; S. Mohamed Yusuff Ansari; N. Vishnu Ganesh; A.K. Abdul Hakeem
      Pages: 181 - 194
      Abstract: Publication date: Available online 3 June 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): B. Ganga , S. Mohamed Yusuff Ansari , N. Vishnu Ganesh , A.K. Abdul Hakeem
      A mathematical analysis has been carried out to investigate the effects of internal heat generation/absorption, viscous and ohmic dissipations on steady two-dimensional radiative MHD boundary-layer flow of a viscous, incompressible, electrically conducting nanofluid over a vertical plate. A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations and then solved analytically using HAM and numerically by the fourth order Runge–Kutta integration scheme with shooting method. The effects of different controlling parameters on the dimensionless velocity, temperature and nanoparticle volume fraction profiles are discussed graphically. The reduced Nusslet number and the local Sherwood number are also discussed graphically. It is found that the presence of viscous dissipation, heat generation and magnetic field accelerates the temperature and decelerates the nanosolid volume fraction profile. Furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement.

      PubDate: 2015-06-08T00:20:29Z
      DOI: 10.1016/j.jnnms.2015.04.001
      Issue No: Vol. 34, No. 2 (2015)
       
  • Heat transfer with radiation and temperature dependent heat source in MHD
           free convection flow in a porous medium between two vertical wavy walls

    • Authors: M.S. Dada; A.B. Disu
      Pages: 200 - 215
      Abstract: Publication date: Available online 3 January 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): M.S. Dada , A.B. Disu
      This study was conducted to investigate the two dimensional heat transfer of a free convective MHD flow with radiation and temperature dependent heat source of a viscous incompressible fluid in a porous medium between two vertical wavy walls. The flow is assumed to consist of a mean part and a perturbed part. The perturbed quantities are expressed in terms of exponential series for short wave-length. The resultant differential equations are solved by Differential Transform Method (DTM). The numerical computations are presented graphically to show the salient features of the fluid flow and heat transfer characteristics. The skin friction and Nusselt number are also analyzed for variation of governing parameters.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.12.001
      Issue No: Vol. 34, No. 2 (2015)
       
  • Vortical structures on spherical surfaces

    • Authors: E.O. Ifidon; E.O. Oghre
      Pages: 216 - 226
      Abstract: Publication date: Available online 8 January 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): E.O. Ifidon , E.O. Oghre
      A nonlinear elliptic partial differential equation (pde) is obtained as a generalization of the planar Euler equation to the surface of the sphere. A general solution of the pde is found and specific choices corresponding to Stuart vortices are shown to be determined by two parameters λ and N which characterizes the solution. For λ = 1 and N = 0 or N = − 1 , the solution is globally valid everywhere on the sphere but corresponds to stream functions that are simply constants. The solution is however non-trivial for all integral values of N ≥ 1 and N ≤ − 2 . In this case, the solution is valid everywhere on the sphere except at the north and south poles where it exhibits point-vortex singularities with equal circulation. The condition for the solutions to satisfy the Gauss constraint is shown to be independent of the value of the parameter N . Finally, we apply the general methods of Wahlquist and Estabrook to this equation for the determination of (pseudo) potentials. A realization of this algebra would allow the determination of Bäcklund transformations to evolve more general vortex solutions than those presented in this paper.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.12.002
      Issue No: Vol. 34, No. 2 (2015)
       
  • Modeling and simulation of combustion fronts in porous media

    • Authors: R.O. Olayiwola
      Pages: 1 - 10
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): R.O. Olayiwola
      We study a model for forward propagation of a combustion front through a porous medium. The reaction involves oxygen and a solid fuel. We assume that this solid fuel depends on the space variable. We also assume that the amount of gas produced by the reaction is equal to the amount of gas consumed by it. By actual solutions, we prove the existence and uniqueness of solution of the model. We show that temperature is non-decreasing function of time. We use the similarity variable to transform the system of partial differential equations, describing the problem under consideration, into a boundary value problem of coupled ordinary differential equations and an efficient numerical technique is implemented to solve the reduced system. The results are presented graphically and discussed. It is discovered that the heat transfer and species consumption are significantly influenced by the Frank–Kamenetskii number.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.10.001
      Issue No: Vol. 34, No. 1 (2015)
       
  • On screw dislocation in a multiphase lamellar inclusion

    • Authors: Nkem Ogbonna
      Pages: 32 - 39
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): Nkem Ogbonna
      The interaction of a screw dislocation in a lamellar inclusion with multiple boundaries is investigated. An analytical solution is obtained for the force acting on the dislocation, and equilibrium positions are established for physically interesting special cases, such as a double layer bounded by free plane surfaces. A functional relationship is obtained which expresses the force on a screw dislocation on one side of an interface in terms of the force on a screw dislocation on the opposite side of the interface, thereby contributing to reduction of effort in the calculation process.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.10.002
      Issue No: Vol. 34, No. 1 (2015)
       
  • Fluid flow and heat transfer in a collapsible tube with heat source or
           sink

    • Authors: S.A. Odejide
      Pages: 40 - 49
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): S.A. Odejide
      In this paper, an incompressible viscous fluid flow and heat transfer in a collapsible tube with heat source or sink is examined. The nonlinear equation arising from the model was solved using perturbation series. An increasing or decreasing in the Prandtl number leads to increasing or decreasing in the rate of heat transfer across the wall.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.10.003
      Issue No: Vol. 34, No. 1 (2015)
       
  • Analysis of the dynamic stability of a viscously damped elastic quadratic
           model structure modulated by a periodic load

    • Authors: A.M. Ette; W.I. Osuji
      Pages: 50 - 69
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): A.M. Ette , W.I. Osuji
      In this paper, we employ perturbation procedures in asymptotic expansions of the various variables to determine the dynamic buckling load of a lightly damped elastic quadratic model structure modulated by a dynamic periodic load. We finally relate the dynamic buckling load to its static equivalent and show that given any one of them, the other can automatically be obtained.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.10.007
      Issue No: Vol. 34, No. 1 (2015)
       
  • On the generalization of the error and error estimation process of
           Ortiz’s recursive formulation of the tau method

    • Authors: B.M. Yisa; R.B. Adeniyi
      Pages: 70 - 82
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): B.M. Yisa , R.B. Adeniyi
      In this paper, the generalization of the Lanczos–Ortiz’s Recursive formulation of the tau method for general non-overdetermined ordinary differential equations is presented. The generalization of the canonical polynomials and their derivatives for both overdetermined and non-overdetermined cases were reported in the earlier works of these authors, thus the emphasis here is on the error and the error estimate procedures. The accuracy of the results were established using some numerical examples and the induction principle.

      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.10.006
      Issue No: Vol. 34, No. 1 (2015)
       
  • Rational interpolation method for solving initial value problems (IVPs) in
           ordinary differential equations

    • Authors: Anetor Osemenkhian
      Pages: 83 - 93
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): Anetor Osemenkhian
      In this paper we designed Rational Interpolation Method for solving Ordinary Differential Equations (ODES) and Stiff initial value problems (IVPs). This was achieved by considering the Rational Interpolation Formula. y ( x ) = U ( x ) = P 0 + P 1 x + P 2 x 2 + P 3 x 3 + p 4 x 4 + P 5 x 5 1 + q 1 x + q 2 x 2 + q 3 x 3 + q 4 x 4 + q 5 x 5 + q 6 x 6 , satisfying U ( X n + i ) = y n + i , i = 0 , 1 , 2 , 3 , 4 , 5 , 6 . We also implemented k = 6 in Aashikpelokhai (1991) class of rational integration formulas given by y n + 1 = ∑ i = 0 5 p i X n + 1 i 1 + ∑ i = 1 6 q i X n + 1 i where, P j = ∑ i = 1 j h ( j + 1 − i ) y n ( j + 1 − i ) ∑ i = 1 j ( j + 1 − i ) ! X n + 1 ( j + 1 − i ) q i − 1 +
      PubDate: 2015-05-04T18:23:05Z
      DOI: 10.1016/j.jnnms.2014.05.001
      Issue No: Vol. 34, No. 1 (2015)
       
  • Effects of diffusion-thermo and thermo-diffusion on two-phase boundary
           layer flow past a stretching sheet with fluid-particle suspension and
           chemical reaction: A numerical study

    • Authors: K.L. Krupa; Lakshmi B.J. Gireesha Rama.S.R. Gorla Mahanthesh
      Abstract: Publication date: Available online 27 November 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): K.L. Krupa Lakshmi, B.J. Gireesha, Rama.S.R. Gorla, B. Mahanthesh
      A numerical investigation on laminar boundary layer flow, heat and mass transfer of two-phase particulate suspension induced by a linearly stretching sheet is carried out. In the mathematical formulation both the fluid and particle phases are treated as two separate interacting continua. The effects of magnetic field, diffusion-thermo, thermal-diffusion, thermal radiation and first order chemical reaction are taken into the account. The relevant governing partial differential equations corresponding to the momentum, energy and concentration are transformed into a system of non-linear ordinary differential equations with the help of appropriate similarity transformations and then solved numerically using Runge–Kutta-Fehlberg fourth fifth order method along with shooting scheme. The effects of the relevant physical parameters on the flow, heat and mass transfer characteristics of both fluid and particle phases were numerically obtained and discussed in detail. It is found that, the momentum, thermal and solute boundary layer thickness decreases with increasing the particles loading.

      PubDate: 2015-11-28T17:04:14Z
       
  • Influence of chemical reaction, radiation and rotation on MHD nanofluid
           flow past a permeable flat plate in porous medium

    • Authors: J.V. Ramana; Reddy Sugunamma Sandeep Sulochana
      Abstract: Publication date: Available online 15 September 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): J.V. Ramana Reddy, V. Sugunamma, N. Sandeep, C. Sulochana
      In this paper we investigated an unsteady free convection flow of a nanofluid bounded by a moving vertical flat plate through porous medium in a rotating system with convective and diffusive boundary conditions. We considered two types of nanofluids namely Ag-water and TiO 2 -water. The governing equations are solved analytically by using perturbation technique. Finally the effects of various dimensionless parameters like magneticfield parameter, chemical reaction parameter, thermal radiation parameter, volume fraction of the nano particles and shape of the nano particles on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers are discussed with the help of graphs. Comparisons of the present results made with the existed studies and found an excellent agreement under some special limited cases. Moreover, we observed that the rate of heat transfer in Ag-water nanofluid is higher than that of TiO 2 -water nanofluid and spherical shaped nano particles effectively enhances the heat transfer rate while compared with the cylindrical shaped nano particles.

      PubDate: 2015-09-19T16:05:12Z
       
  • Melting heat transfer effects on stagnation point flow of micropolar fluid
           with variable dynamic viscosity and thermal conductivity at constant
           vortex viscosity

    • Authors: Sunday Kolawole; Adegbie Kolade Isaac Lare Animasaun
      Abstract: Publication date: Available online 3 August 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Sunday Kolawole Adegbie, O. Kolade Kọrikọ, Isaac Lare Animasaun
      The two dimensional boundary layer flow of micropolar fluid towards stagnation point formed on a horizontal linearly stretching surface is investigated. Melting heat transfer at the surface, temperature and exponentially space dependent internal heat generation within fluid domain are considered. It is assumed that dynamic viscosity and thermal conductivity are temperature dependent while micropolar vortex viscosity is constant. These assumptions are discussed. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of melting heat transfer following all the necessary theories. Similarity transformations are used to convert the governing equations into non-linear boundary value problem and solved numerically. Effects of various parameters on the micropolar fluid flow and heat transfer are analyzed. The results reveal that one of the possible ways to increase transverse velocity of micropolar fluid flow over melting surface is to consider variable thermo-physical property of micropolar fluid at constant vortex viscosity with a decrease in melting parameter while velocity ratio increases. For correct analysis/investigation of micropolar fluid flow with variable properties over melting surface, the new thermo-physical models are to be considered. The velocity increases with the increase of velocity ratio under the new condition compare to classical condition (constant thermo-physical property) of micropolar fluid flow over melting surface.

      PubDate: 2015-08-04T04:16:49Z
       
  • Motion around L4,5 in the relativistic R3BP with smaller triaxial primary

    • Authors: Nakone Bello; Jagadish Singh
      Abstract: Publication date: Available online 28 July 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Nakone Bello, Jagadish Singh
      This paper deals with the triangular points L 4 , 5 of the relativistic restricted three-body problem (R3BP) when the smaller primary is assumed triaxial. It is noticed that the locations and stability of the triangular points are affected by both relativistic and triaxiality pertubations. It can be easily seen that the range of stability region of these points is reduced by the effects of relativistic and triaxiality factors and more especially decreases with the increase of triaxiality factor.

      PubDate: 2015-07-30T07:44:07Z
       
  • Elastic interaction of a screw dislocation with a double-coated cylinder

    • Authors: Nkem Ogbonna
      Abstract: Publication date: Available online 17 July 2015
      Source:Journal of the Nigerian Mathematical Society
      Author(s): Nkem Ogbonna
      We study the problem of a screw dislocation interacting with a double-coated cylindrical inclusion in a dissimilar matrix. Using an elastostatic image method, we determine the displacement field in each material phase and obtain the force of interaction between the inhomogeneity and the dislocation in the form of a rapidly convergent infinite series. Numerical examples are presented to illustrate the effect of double coating on the force of interaction. It is found that, for certain material combinations, the presence of a double-coated cylinder gives rise to two equilibrium positions of the dislocation. This result is significant as it indicates that multiple equilibrium positions are possible for multiply-coated inclusions interacting with a screw dislocation.

      PubDate: 2015-07-20T10:01:34Z
       
  • Effects of thermophoresis, variable viscosity and thermal conductivity on
           free convective heat and mass transfer of non-darcian MHD dissipative
           Casson fluid flow with suction and nth order of chemical reaction

    • Authors: I.L. Animasaun
      Abstract: Publication date: April 2015
      Source:Journal of the Nigerian Mathematical Society, Volume 34, Issue 1
      Author(s): I.L. Animasaun
      This present study focuses on the effects of thermophoresis, Dufour, temperature dependent thermal conductivity and viscosity of an incompressible electrically conducting Casson fluid flow along a vertical porous plate in the presence of viscous dissipation, n t h order chemical reaction and suction. It is assumed that the relationship between the flow rate and pressure drop as the fluid flows through a porous medium is non-linear. Similarity transformations are used to convert the governing equations to a system of nonlinear ordinary coupled differential equations and the numerical solutions for the velocity, temperature and concentration profiles are obtained using shooting method along with Runge-Kutta Gill and Quadratic interpolation (Muller’s scheme). The behaviour of dimensionless velocity, temperature and concentration within the boundary layer has been studied using different values of Prandtl number, Casson parameter, thermophoretic parameter, temperature dependent viscosity, temperature dependent thermal conductivity, Magnetic parameter, local Forchheimer parameter, and local Darcy parameter. The flow controlling parameters are found to have a profound effect on the resulting flow profiles except in some few cases i.e. effect of thermophoretic parameter τ over velocity and temperature profiles of fluids with constant viscosity and thermal conductivity ( ξ = ε = 0 ). The local skin friction, Nusselt number and Sherwood number for some cases are also presented.

      PubDate: 2015-05-04T18:23:05Z
       
  • Analysis of skin friction in MHD Falker–Skan flow problem

    • Authors: R.A. Oderinu; Y.A.S. Aregbesola
      Abstract: Publication date: Available online 14 December 2014
      Source:Journal of the Nigerian Mathematical Society
      Author(s): R.A. Oderinu , Y.A.S. Aregbesola
      A new, accurate and general formula for evaluating the skin friction parameter in a Magneto-Hydrodynamics (MHD) Falkner–Skan flow over a permeable wall was obtained. The formula gives the value of the skin friction of the problem in an infinite interval ( 0 , ∞ ) for all various values of the parameters involved. Shooting method via Runge–Kutta method for solving two-point boundary value problem in a truncated interval ( 0 , L ) is used to compare the results obtained. It was observed that the percentage difference between the two sets of results is very small.

      PubDate: 2015-05-04T18:23:05Z
       
  • A t-distribution based particle filter for univariate and multivariate
           stochastic volatility models

    • Authors: E.B. Nkemnole; Abass
      Abstract: Publication date: Available online 13 December 2014
      Source:Journal of the Nigerian Mathematical Society
      Author(s): E.B. Nkemnole , O. Abass
      Stochastic Volatility (SV) model usually assumes that the distribution of asset returns conditional on the latent volatility is normal. Previous approaches to estimation of SV model have mostly focused on Gaussian filters in practice. This paper analyzes SV model with the student-t distribution and compares the distribution with mixture-of-normal distributions of Kim and Stoffer [22]. A Sequential Monte Carlo with Expectation–Maximization (SMCEM) technique based on student-t distribution is developed to estimate the parameters for the extended volatility model. The SMC method, or particle filter based on student-t distribution, which is heavier tailed than Gaussians, provides an approximate solution to non-Gaussian estimation problem and hence more robust. Our empirical analysis indicates that extension of the SV model such as a specification of the error term with student-t distribution in the return equation dominates the normal mixture distribution. Additionally, the t-distribution based particle filter is applied to a multivariate stochastic volatility model. It is again shown that the student-t based algorithm performs quite well in explaining the joint dynamics in the volatility of a set of four exchange rates series.

      PubDate: 2015-05-04T18:23:05Z
       
  • An exponential method for accurate and automatic integration of nonlinear
           (stiff and nonstiff) ODE systems

    • Authors: C.C. Jibunoh
      Abstract: Publication date: Available online 4 December 2014
      Source:Journal of the Nigerian Mathematical Society
      Author(s): C.C. Jibunoh
      In this paper, an explicit Exponential Method (EM), which is an off-shoot of Jibunoh’s spectral decomposition is developed for the accurate and automatic integration of nonlinear (stiff and nonstiff) ODE systems. In particular, the Vanderpol system of equations is solved. The method is also applicable to linear systems, including linear oscillatory systems or systems with complex eigenvalues. It has simplicity of implementation by automatic computation using the QBASIC Codes and produces high accuracy or the exact theoretical solutions in any nonlinear or linear systems. The EM is, therefore, superior to many traditional methods which are less accurate and which integrate nonlinear systems with cumbersome procedures.

      PubDate: 2015-05-04T18:23:05Z
       
 
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