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  Subjects -> MATHEMATICS (Total: 889 journals)
    - APPLIED MATHEMATICS (73 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (659 journals)
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MATHEMATICS (659 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 7)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 1)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Differential Equations and Dynamical Systems
  [SJR: 0.475]   [H-I: 9]   [3 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0974-6870 - ISSN (Online) 0971-3514
   Published by Springer-Verlag Homepage  [2352 journals]
  • Analysis of Fractional Functional Differential Equations of Neutral Type
           with Nonlocal Conditions
    • Authors: Madhukant Sharma; Shruti Dubey
      Pages: 499 - 517
      Abstract: This work deals with the existence of solutions for a class of nonlinear nonlocal fractional functional differential equations of neutral type in Banach spaces. In particular, we prove the existence of solutions with the assumptions that the nonlinear parts satisfy locally Lipschitz like conditions and closed linear operator \(-A(t)\) generates analytic semigroup for each \(t \ge 0\) . We also investigate global existence of solution and study the continuous dependence of solution on initial data. We conclude the article with an application to the developed results.
      PubDate: 2017-10-01
      DOI: 10.1007/s12591-016-0290-1
      Issue No: Vol. 25, No. 4 (2017)
       
  • Positive Solutions for a System of Fractional Differential Equations with
           Nonlocal Integral Boundary Conditions
    • Authors: Assia Guezane-Lakoud; Allaberen Ashyralyev
      Pages: 519 - 526
      Abstract: In this paper, we discuss by means of a fixed point theorem, the existence of positive solutions of a system of nonlinear Caputo fractional differential equations with integral boundary conditions. An example is given to illustrate the main results.
      PubDate: 2017-10-01
      DOI: 10.1007/s12591-015-0255-9
      Issue No: Vol. 25, No. 4 (2017)
       
  • Modeling, Analysis and Simulations of a Dynamic Thermoviscoelastic
           Rod-Beam System
    • Authors: J. Ahn; K. L. Kuttler; M. Shillor
      Pages: 527 - 552
      Abstract: This work models, analyses and simulates a coupled dynamic system consisting of a thermoviscoelastic rod and a linear viscoelastic beam. It is motivated by recent developments in MEMS systems, in particular the “V-shape” electro-thermal actuator that realizes large displacement and reliable contact in MEMS switches. The model consists of a system of three coupled partial differential equations for the beam’s and the rods’ displacements, and the rod’s temperature. Moreover, the rod may come in contact with a reactive foundation at one end, which is the main aspect of the actuating or switching property of the system. The thermal interaction at the contacting end of the rod is described by Barber’s heat exchange condition. The system is analyzed by setting it in an abstract form for which the existence of a weak solution is shown by using tools from the theory of variational inequalities and a fixed point theorem. A numerical algorithm for the system is constructed; its implementation yields computational depiction of the system’s behavior, with emphasis on the combined vibrations of the beam-rod system, dynamic contact force and thermal interaction.
      PubDate: 2017-10-01
      DOI: 10.1007/s12591-016-0301-2
      Issue No: Vol. 25, No. 4 (2017)
       
  • Dynamic Models of Competition Systems Involving Generalized Functional
           Response
    • Authors: Jocirei D. Ferreira; Alejandra M. Pulgarin Galvis; V. Sree Hari Rao
      Abstract: In this paper we study the interactions among two species of predators and one single species of prey populations, under a more generalized functional response arising out of the competition. The models presented in this research for these species exhibit rich dynamics for varying values of the vital parameters involved. Conditions for the existence and stability of equilibria of the model equations are established.
      PubDate: 2017-11-11
      DOI: 10.1007/s12591-017-0398-y
       
  • Controllability of Stochastic Impulsive Neutral Functional Differential
           Equations Driven by Fractional Brownian Motion with Infinite Delay
    • Authors: A. Boudaoui; E. Lakhel
      Abstract: In this paper we study the controllability results of impulsive neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.
      PubDate: 2017-11-05
      DOI: 10.1007/s12591-017-0401-7
       
  • Application of Morse Theory for Some Damped Dirichlet Nonlinear Impulsive
           Differential Equations
    • Authors: Junjun Zhou; Xiao Bie; Yangyang Wang
      Abstract: In this paper, we consider the multiplicity of solutions for some damped nonlinear impulsive differential equations by using Morse theory in combination with the minimax arguments. Under some assumptions, we get some new results on the existence of multiple nontrivial solutions for the problems. Thus, we improve and extend recent results.
      PubDate: 2017-10-27
      DOI: 10.1007/s12591-017-0400-8
       
  • A Novel Method for Singularly Perturbed Delay Differential Equations of
           Reaction-Diffusion Type
    • Authors: P. Pramod Chakravarthy; Kamalesh Kumar
      Abstract: In this paper, we consider a boundary value problem for a singularly perturbed delay differential equation of reaction–diffusion type. A fitted operator finite difference scheme based on Numerov’s method is constructed. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method.
      PubDate: 2017-10-27
      DOI: 10.1007/s12591-017-0399-x
       
  • Numerical Solution of a Nonlinear Fractional Integro-Differential Equation
           by a Geometric Approach
    • Authors: S. Shahmorad; S. Pashaei; M. S. Hashemi
      Abstract: Numerical solution of a Riemann–Liouville fractional integro-differential boundary value problem with a fractional nonlocal integral boundary condition is studied based on a numerical approach which preserve the geometric structure on the Lorentz Lie group. A fictitious time \(\tau \) is used to transform the dependent variable y(t) into a new one \(u(t,\tau ):=(1+\tau )^{\gamma }y(t)\) in an augmented space, where \(0<\gamma \le 1\) is a parameter, such that under a semi-discretization method and use of a Newton-Cotes quadrature rule the original equation is converted to a system of ODEs in the space \((t,\tau )\) and the obtained system is solved by the Group Preserving Scheme (GPS). Some illustrative examples are given to demonstrate the accuracy and implementation of the method.
      PubDate: 2017-10-14
      DOI: 10.1007/s12591-017-0395-1
       
  • Global Stability of Zika Virus Dynamics
    • Authors: Savannah Bates; Hayley Hutson; Jorge Rebaza
      Abstract: The few mathematical models available in the literature to describe the dynamics of Zika virus are still in their initial stage of stability and bifurcation analysis, and they were in part developed as a response to the most recent outbreaks, including the one in Brazil in 2015, which has also given more hints to its association with Guillain–Barre Syndrome (GBS) and microcephaly. The interaction between and the effects of vector and human transmission are a central part of these models. This work aims at extending and generalizing current research on mathematical models of Zika virus dynamics by providing rigorous global stability analyses of the models. In particular, for disease-free equilibria, appropriate Lyapunov functions are constructed using a compartmental approach and a matrix-theoretic method, whereas for endemic equilibria, a relatively recent graph-theoretic method is used. Numerical evidence of the existence of a transcritical bifurcation is also discussed.
      PubDate: 2017-10-14
      DOI: 10.1007/s12591-017-0396-0
       
  • Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations
    • Authors: Ghasem A. Afrouzi; Shahin Moradi; Giuseppe Caristi
      Abstract: In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff-type have infinitely many solutions. Some recent results are extended and improved. An example is presented to demonstrate the application of our main results.
      PubDate: 2017-10-13
      DOI: 10.1007/s12591-017-0397-z
       
  • A Novel Adaptive Mesh Strategy for Singularly Perturbed Parabolic
           Convection Diffusion Problems
    • Authors: Vivek Kumar; Balaji Srinivasan
      Abstract: In this article, we study a novel adaptive mesh strategy for singularly perturbed problems (SPPs) of the parabolic convection-diffusion type that exhibit regular boundary layers. Our central insight is that the introduction of an auxiliary inequality for an entropy-like variable also serves as a remarkably effective adaptation indicator. The primary novelty of this method is that, unlike extant methods used for layer adapted meshes (in which enough mesh points exist in the layer region for well resolved numerical solution), the current method requires no a priori knowledge of the location and width of the boundary layers. Further, the current method, [(which is an extension of the methodology from Kumar and Srinivasan (Appl Math Model 39:2081–2091, 2015)] is completely independent of the perturbation parameter and results in accurate solutions for a wide range of problems. We include some preliminary error estimates and also the results of several numerical experiments including the Black–Scholes equation. The results exhibit the promise of the proposed strategy to generate efficient adaptive meshes for time dependent convection-diffusion problems.
      PubDate: 2017-09-30
      DOI: 10.1007/s12591-017-0394-2
       
  • A Wavelet Based Rationalized Approach for the Numerical Solution of
           Differential and Integral Equations
    • Authors: Aditya Kaushik; Geetika Gupta; Manju Sharma; Vishal Gupta
      Abstract: A wavelet based rationalized method is presented for the numerical solution of differential, integral and integro-differential equations. Rationalized Haar functions are used to estimate the solution. Their fundamental properties are discussed. A rigorous convergence analysis is presented. The operational matrix of the product of two rationalized Haar functions is used to reduce the dynamical system to an algebraic system. A variety of model problems are taken into account so as to test the efficiency of the proposed method. The result so obtained are compared with the available exact solutions. In addition, proposed scheme is compared with some state of the art existing methods. It is found that the Haar wavelet operational matrix is the fastest. Moreover, the results obtained are mathematically simple and the desired accuracy of the solution is obtained using small number of grid points. The main advantages of the wavelet method are its simplicity, fast transformation, possibility of implementation of fast algorithms and low computational cost with high accuracy.
      PubDate: 2017-09-19
      DOI: 10.1007/s12591-017-0393-3
       
  • A New Spline-in-Tension Method of O( $$k^{2}+h^{4})$$ k 2 + h 4 ) Based on
           Off-step Grid Points for the Solution of 1D Quasi-linear Hyperbolic
           Partial Differential Equations in Vector Form
    • Authors: R. K. Mohanty; Gunjan Khurana
      Abstract: In this paper, we propose a new three level implicit method based on half-step spline in tension method of order two in time and four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of the form \(w_{tt}=K(x,t,w)w_{xx} + {\varphi }(x,t,w,w_{x},w_{t})\) . We describe spline in tension approximations and its properties using two half-step grid points. The new method for one dimensional quasi-linear hyperbolic equation is obtained directly from the consistency condition. In this method we use three grid points for the unknown function w(x, t) and two half-step points for the known variable ‘x’ in x-direction. The proposed method when applied to Telegraphic equation is shown to be unconditionally stable. Further, the stability condition for 1-D linear hyperbolic equation with variable coefficients is established. Our method is directly applicable to hyperbolic equations irrespective of the coordinate system which is the main advantage of our work. The proposed method for scalar equation is extended to solve the system of quasi-linear hyperbolic equations. To assess the validity and accuracy, the proposed method is applied to solve several benchmark problems and numerical computations are provided to demonstrate the effectualness of the method.
      PubDate: 2017-09-14
      DOI: 10.1007/s12591-017-0391-5
       
  • Stage-Structured Transmission Model Incorporating Secondary Dengue
           Infection
    • Authors: Arti Mishra; Sunita Gakkhar
      Abstract: In this paper, a non-linear stage-structured model has been formulated to study the effects of primary/secondary dengue infection on children and adults. It is assumed that a proportion of susceptible children have been previously infected by a serotype asymptomatically. After recovery from asymptomatic infection, the immunity is developed for the particular serotype but they remain susceptible to heterologous serotypes. These children may get secondary infection when exposed to a different serotype. The model has two equilibrium states. Global/local stability of equilibrium states have been discussed. The stability of disease-free state changes at \(R_0=1\) . Applying the center manifold theory, the existence of forward bifurcation is possible. This concludes that the primary/secondary infection in children as well as in adults population could be eradicated for \(R_0<1\) . Numerical results are used to explore the global behavior of disease-free/endemic state for choice of arbitrary initial conditions.
      PubDate: 2017-09-13
      DOI: 10.1007/s12591-017-0387-1
       
  • Similarity Solutions of Cylindrical Shock Waves in Non-Ideal
           Magnetogasdynamics with Thermal Radiation
    • Authors: Hariom Sharma; Rajan Arora
      Abstract: In the present work we have taken one-dimensional unsteady flow of non-ideal gas with magnetic effect under the presence of thermal radiation. The system is hyperbolic in nature and solved by similarity method using Lie Group of Transformations under the assumption that the system is constantly conformally invariant under the transformations. The similarity solutions are investigated behind a cylindrical shock which is a consequence of a sudden explosion or produced by an expanding piston. The shock is assumed to be strong and propagating into the medium which is at rest, with uniform density. The total energy of the shock is assumed to be time dependent and obeying the power law. By means of similarity method our system of PDEs transformed into the system of ordinary differential equations (ODEs), which in general are nonlinear. The effects of thermal radiation on the the flow variables velocity, density, pressure and magnetic field are investigated behind the shock.
      PubDate: 2017-09-12
      DOI: 10.1007/s12591-017-0392-4
       
  • $$\varepsilon $$ ε -Uniform Numerical Technique for the Class of Time
           Dependent Singularly Perturbed Parabolic Problems With State Dependent
           Retarded Argument Arising from Generalised Stein’s Model of Neuronal
           Variability
    • Authors: Komal Bansal; Kapil K. Sharma
      Abstract: The motive of the present work is to develop a parameter robust numerical scheme for the class of problems involving singularly perturbed parabolic differential-difference equations with delay, which often arise in computational neuroscience. The numerical schemes developed prior to this work are restricted either to the case of small values of delay argument or linear convergence with restriction on the mesh generation. In practice, the delay argument can be of arbitrary size. Parameter \(\varepsilon \) may take small enough values e.g., viscosity coefficient in Navier–Stokes equation for fluids with high Reynolds number. It is required to construct a higher order parameter robust numerical scheme without any restriction on the mesh generation for singularly perturbed parabolic differential-difference equations with state dependent delay of arbitrary size. A new class of non-standard finite difference method based on interpolation, \(\theta \) -method and Micken’s techniques is constructed to approximate the solution of singularly perturbed parabolic differential-difference equations with arbitrary values of delay. It is shown that proposed numerical scheme is parameter uniform convergent. It is proved that this method is unconditionally stable and is convergent for \(\frac{1}{2} \le \theta \le 1,\) without having any restriction on the mesh. Some numerical experiments are provided to illustrate the performance of the method.
      PubDate: 2017-09-11
      DOI: 10.1007/s12591-017-0390-6
       
  • Multidimensional Discrete Dynamical Systems with Slow Behavior
    • Abstract: In this work we state sufficient conditions for convergence for nonhyperbolic fixed points of multidimensional discrete dynamical systems and analyze their speed of convergence. We introduce a new concept of slow convergence based on one dimensional discrete systems and we establish a general classification for slow discrete dynamical systems which is of paramount importance in numerical analysis and in the development of algorithms. A variety of two dimensional examples are presented to illustrate the diverse possibilities of convergence existing in multidimensional systems.
      PubDate: 2017-09-07
      DOI: 10.1007/s12591-017-0388-0
       
  • Uniform Stability of Second Sound Thermoelasticity with Distributed Delay
    • Abstract: In this paper we consider a thermoelastic system of second sound with internal delay. Under suitable assumption on the weight of the delay, we prove, using the energy method, that the damping effect through heat conduction given by Cattaneo’s law is still strong enough to uniformly stabilize the system even in the presence of time delay.
      PubDate: 2017-09-07
      DOI: 10.1007/s12591-017-0389-z
       
  • Mittag–Leffler Stability for Impulsive Caputo Fractional
           Differential Equations
    • Authors: R. Agarwal; S. Hristova; D. O’Regan
      Abstract: The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions of impulsive Caputo fractional differential equations are presented and discussed. A generalization of Mittag–Leffler stability with respect to both types of impulses is given.
      PubDate: 2017-08-24
      DOI: 10.1007/s12591-017-0384-4
       
  • On the Controllability of Some Nonlinear Partial Functional
           Integrodifferential Equations with Finite Delay in Banach Spaces
    • Authors: Patrice Ndambomve; Khalil Ezzinbi
      Abstract: This work concerns the study of the controllability for some nonlinear partial functional integrodifferential equation with finite delay arising in the modelling of materials with memory in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point Theorem. As a result, we obtain a generalization of several important results in the literature, without assuming the compactness of the resolvent operator. An example of applications is given for illustration.
      PubDate: 2017-08-23
      DOI: 10.1007/s12591-017-0386-2
       
 
 
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