Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. F. Mansour This paper provides a new and fast method for matching and recognition of characters in Arabic license plate images. For this purpose, various methods have been proposed in literature. However, most of them suffer from: sensitivity to non-uniform illumination distribution, existence of shade in license plate, license plate color and the need for receiving an exact image of the license plate. The main contributions of our work include (I) chain code use to bounded the shape and distinguishing similar characters by local structural features. The moving window matching algorithm has been implemented. The distance measure (squared Euclidean distance) technique has been used for measuring the similarities between the moving window and the plate image. (2) Developing a system architecture combining statistical and structural recognition methods. We tested the method with 300 of plate images captured in different environments from real applications. The result yield 93.93% recognition accuracy. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. ThukralNew four-point derivative-free sixteenth-order iterative methods for solving nonlinear equations are constructed. It is proved that these methods have the convergence order of sixteen requiring only five function evaluations per iteration. In fact, we have obtained the optimal order of convergence which supports the Kung and Traub conjecture. Kung and Traub conjectured that the multipoint iteration methods, without memory based on n evaluations, could achieve optimal convergence order Thus, we present new derivative-free methods which agree with the Kung and Traub conjecture for Numerical comparisons are made with other existing methods to show the performance of the presented methods. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Emran TohidiThe purpose of this study is to give a Bernoulli polynomial approximation for thesolution of hyperbolic partial differential equations with three variables and constant coefficients. For this purpose, a Bernoulli matrix approach is introduced. This method is based on taking the truncated Bernoulli expansions of the functions in the partial differential equations. After replacing the approximations of functions in the basic equation, we deal with a linear algebraic equation. Hence, the result matrix equation can be solved and the unknown Bernoulli coefficients can be found approximately. The efficiency of the proposed approach is demonstrated with one example. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Sugiono,Mian Hong Wu,Ilias OraifigePrevious research works tried to optimize the architectures of Back Propagation Neural Networks (BPNN) in order to enhance their performance. However, the using of appropriate method to perform this task still needs expanding knowledge. The paper studies the effect and the benefit of using Taguchi method to optimize the architecture of BPNN car body design system. The paper started with literatures review to define factors and level of BPNN parameters for number of hidden layer, number of neurons, learning algorithm, and etc. Then the BPNN architecture is optimized by Taguchi method with Mean Square Error (MSE) indicator. The Signal to Noise (S/N) ratio, analysis of variance (ANOVA) and analysis of means (ANOM) have been employed to identify the Taguchi results. The optimal BPNN training has been used successfully to tackle uncertain of hidden layer’s parameters structure. It has faster iterations to reach the convergent condition and it has ten times better MSE achievement than NN machine expert. The paper still shows how to use the information of car body shapes, car speed, vibration, noise, and fuel consumption of the car body database in BPNN training and validation. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 G. ThangamaniA very high level of availability is crucial to the economic operation of modern power plants, in view of the huge expenditure associated with their failures. This paper deals with the availability analysis of a Lube oil system used in a combined cycle power plant. The system is modeled as a Generalized Stochastic Petri Net (GSPN) taking into consideration of partial failures of their subsystems and common-cause failures; analyzed using Monte Carlo Simulation approach. The major benefit of GSPN approach is hardware, software and human behavior can be modeled using the same language and hence more suitable to model complex system like power plants. The superiority of this approach over others such as network, fault tree and Markov analysis are outlined. The numerical estimates of availability, failure criticality index of various subsystems, components causing unavailability of lube oil system are brought out. The proposed GSPN is a promising tool that can be conveniently used to model and analyze any complex systems. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Helmar Nunes MoreiraThis paper presents the stability analysis of equilibrium points of a model involving competition between three species subject to a strong Allee effect which occurs at low population density. By using the software of MAPLE 10, we prove that, under certain conditions, the model has at most twenty seven nonnegative equilibrium points and, via Lyapunov function, we derive criteria for the asymptotical stability of the unique positive equilibrium point. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Sh. A. Nazirov,F. M. Nuraliev,Sh. A. AnorovaThis paper is devoted to the study of numeric convergence of Rvachev’s method of R − function. The method of R − function in this case is applied to the solution of the problem of constraint torsion of prismatic bodies of arbitrary section. First the problem is solved analytically when the section is rectangular and this solution is compared with results of the method of R − function. Then numeric convergence of R − function is studied, when the angles of rectangular section are rounded; it also is applied when the section has rectangular opening with rounded angles. Results compared show good agreement and convergence. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Prag Singhal,Garima BindalVibration characteristics of monoclinic rectangular plate of exponentially varying thickness resting on elastic foundation have been studied on the basis of classical plate theory. Following Lévy approach i.e. two parallel edges (y = 0 and b) are assumed to be simply-supported while the other two edges (x = 0 and a) may have either of three combinations C-C, C-S or C-F, where C, S and F stand for clamped, simply supported and free edge, respectively. Assuming the transverse displacement w to vary as sin (pπy/b), the partial differential equation which governs the motion of equation is reduced to an ordinary differential equation in x with variable coefficients. The resulting ordinary differential equation has been solved by Generalised Differential Quadrature Method (GDQM) for all the boundary conditions considered here. The effect of various plate parameters has been studied on the natural frequencies for the first three modes of vibration. Convergence studies have been carried out for four decimal exactitude. Mode shapes for all the three plates have been presented. The efficiency of generalized differential quadrature method for the natural frequencies of vibration of monoclinic rectangular plates has been examined. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Ibrahim Yusuf,Nafiu HussainiThis paper deal with the stochastic modeling of system comprising two subsystems A and B in series. Subsystem A consists three active parallel units. Failure time and repair time are assumed exponential. We developed explicit expressions for mean time to system failure (MTSF), system availability, busy period and profit function using kolmogorov’s forward equations method and perform graphical analysis to see the behavior of failure rates and repair rates on measures of system effectiveness such MTSF, system availability and profit function. PubDate: 10/17/2012 17:17:25

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Y. M. Aiyesimi,S. O. Abah,G. T. OkedayoA general analysis has been developed to study the combined effect of the free convective heat and mass transfer on the unsteady two-dimensional boundary layer flow over a stretching vertical plate. The flow is subject to magnetic field normal to the plate. The governing nonlinear partial differential equations have been reduced to the coupled nonlinear ordinary differential equations by the similarity transformations. The resulting equations are solved numerically by using Runge-Kutta the shooting technique. The effects of the Magnetic field Parameter M, buoyancy parameter N, Prandtl number Pr and Schmidt number Sc are examined on the velocity, temperature and concentration profiles. Numerical data for the skin-friction coefficients, Nusselt and Sherwood numbers have been tabulated for various parametric conditions. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. Arora,A. kumarSine-hyperbolic function method is used to obtain exact travelling wave solutions of nonlinear partial differential equations. The method is used to obtain the exact solutions for four different types of nonlinear partial differential equations such as, general Korteweg–de Vries equation (GKdV), Regularized Long Wave equation (RLWE), general Equal Width Wave equation (GEWE) and general Regularized Long Wave equation (GRLW), which are the important soliton equations. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. Nageshwar Rao,P. Pramod ChakravarthyThis paper deals with the singularly perturbed boundary value problem for a linear second order differential-difference equation of the convection-diffusion type with small delay parameter. A fourth order finite difference method is developed for solving singularly perturbed differential difference equations. To handle the delay argument, we construct a special type of mesh, so that the term containing delay lies on nodal points after discretization. The proposed finite difference method works nicely when the delay parameter is smaller or bigger to perturbation parameter. The truncation error of the finite difference method is calculated. On the basis of truncation error, as well as the results of number of computational examples, it is concluded that the present method offers significant advantage for the linear problems. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. AroraThe method of Lie group invariance is used to obtain a class of self-similar solutions for a one-dimensional, time-dependent problem in shock hydrodynamics, with a chemical reaction taking place behind the shock. The forms of the initial speciﬁc volume v0 and the reaction rate Q, for which the problem is invariant and admits self-similar solutions, are also found. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 K. Maleknejad,E. HashemizadehThis paper proposed a numerical method for nonlinear singular ordinary differential equations, that arises in biology and some diseases. We solved these nonlinear problems by a new method based on shifted Legendre polynomials. Operational matrices of derivatives for this function are presented to reduce the nonlinear singular boundary value problems to a system of nonlinear algebraic equations. The method is computationally very simple and attractive, and applications are demonstrated through illustrative examples. The results obtained are compared by the known results. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Bhupendra Kumar Sharma,Tara Chand,R. C. ChaudharyThe present paper contains a mathematical analysis of the mixed convection three dimensional steady laminar flow of a viscous incompressible fluid past an infinite vertical porous plate. The three-dimensional flow is caused by the transverse sinusoidal suction at the plate. A constant heat flux is prescribed at the plate. Assuming the plate velocity to be uniform, analytical solutions are obtained for the flow field, the temperature field and the skin-friction. Effects of Prandtl number and Grashof number on the flow characteristics are explored and illustrated graphically. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 R. F. MansourIn this paper, a method for reconstructing a 3-D shape of an object from a 2-D shading image using a Genetic Algorithm (GA), which is an optimizing technique based on mechanisms of natural selection. The 3D-shape is recovered through the analysis of the gray levels in a single image of the scene. This problem is ill-posed except if some additional assumptions are made. In the proposed method, shape from shading is addressed as an energy minimization problem. The traditional deterministic approach provides efficient algorithms to solve this problem in terms of time but reaches its limits since the energy associated with shape from shading can contain multiple deep local minima. Genetic Algorithm is used as an alternative approach which is efficient at exploring the entire search space. The Algorithm is tested in both synthetic and real image and is found to perform accurate and efficient results. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Y. M. Aiyesimi,Olorunsola O. NiyiThis paper applied the variational iterative method to solve the problem of the two-dimensional incompressible laminar boundary layer flow over a flat plat also called the Blasius problem. The problem is governed by the Navier-Stokes and continuity equations which were first transformed into an ordinary differential equation using similarity transforms and the resulting problem solved using variational iterative method. The results obtained for the similarity stream function and velocity were tabulated and were highly comparable in terms of accuracy with that obtained by Ganji et al. (2009) who studied the same problem using the homotopy perturbation technique and results obtained by Blasius. The results were found to be very accurate especially for η ≤ 4 when using the variational iterative method. The method is convenient as it greatly reduces the amount of computational work. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Rajan Arora,Mohd. Junaid Siddiqui,V. P. SinghThe modified equal width equation and its variant are investigated. We have presented a reduced differential transform method to solve the MEW equation, its variant and non-homogeneous Burgers’ equation. This method is an alternative approach to overcome the demerit of complex calculation of differential transform method, capable of reducing the size of calculation and easily overcoming the difficulty of the perturbation technique or Adomain polynomials. The approximate analytical solutions of the equations are calculated in the form of series with easily computable components. Numerical results are derived and the obtained results are found in good agreement with the exact solutions. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Aiyesimi Y. M.,A. A. Mohammed,S. SadikuThe result of the study of dynamic response of an elastic circular plate to blast load is presented in this research work. Finite element method is used to derive the equation of motion for the circular plate element under the influence of exponential impulse forces. System stiffness and mass matrices were drive. The effects of transverse shear deformation and rotatory inertia were included. From the numerically simulated results it is observed that the amplitude dies out quickly due to the effect of damping. The pulse duration is also one of the most important parameter because it gives serious influence to the vibration amplitude. It gives rise to the vibration amplitude on any small decrease on the pulse duration. It is also observed that the exponential blast loading brings faster rate of amplitude decay than those of triangular and sinusoidal blast loading. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 S. Arbabi Mohammad-AbadiIn this paper, a sine-cosine method is used to construct many periodic and solitary wave solutions to Kadomtsev-Petviashvili equation with power law nonlinearity. Many new families of exact traveling wave solutions of the Kadomtsev-Petviashvili equation with power law nonlinearity are successfully obtained. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Anand Shukla,Akhilesh Kumar Singh,P. SinghNow-a-days computational fluid mechanics has become very vital area in which obtained governing equations are differential equations. Sometimes, these governing equations cannot be easily solved by existing analytical methods. Due to this reason, we use various numerical techniques to find out approximate solution for such problems. Among these techniques, finite volume method is also being used for solving these governing equations here we are describing comparative study of Finite volume method and finite difference method. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Masoud SaraviIn this paper we introduce, briefly, Clenshaw method which is a kind of spectral method and then by exploiting the trigonometric identity property of Chebyshev polynomial in this method we try to get more accurate approximate solution of linear differential equations. We compare the results by some numerical examples. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Houssem R. E. H. Bouchekara,Mohamed Boucherma,Hicham AllagAn attractive feature of many simulation packages is their availability on desktop computers and their potential for allowing the user to run a simulation model under different conditions in a highly interactive way. Such a way of studying a system is attractive because of its immediacy and the direct control it offers the user. Design of Experiments is a statistical technique for quickly optimizing performance of systems. It starts with a screening experimental design test plan involving all of the known factors that are suspected to affect the system’s performance (or output). When the number of input variables or test factors is large, the primary experimental objective is to pare this number down into a manageable few. This is usually followed by another designed experiment design or test plan with the objective of optimizing the system’s performance. For an easy and interactive use of the design of experiments technique, a new tool called DOET (which stands for ‘Design Of Experiments Tool’) has been developed. This paper aims to illustrate the design of experiments technique using the DOET. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Timo SaksalaIt has been observed numerically that the viscoplastic consistency model by Wang (1997) with a linear yield surface and a linear hardening/softening rule converges, using the standard stress return mapping, with two steps. In this paper this numerical observation is proved analytically using the Maple software. The proof is carried out for the Mohr-Coulomb viscoplastic consistency model. However, a similar proof can be performed for other linear models, such as the Rankine and Tresca models, as well. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Anastasiya V. Arsirii,Andrej V. PlotnikovIn this article we prove that for any measurable admissible control and for any there exists piecewise constant admissible control such that for set solutions of control set system are - hbouring PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Md. Rafiqul IslamThe purpose of the present study is to build up some mathematical models for male and female forward cumulative population of Bangladesh. For this, the secondary data for population of Bangladesh have been taken from census of 2001. To check up the validity of the models, the model validation technique, cross-validity prediction power (CVPP), is employed in this paper. It is seen that male and female forward cumulative population of Bangladesh follow four parameters polynomial model. It is found that the parameters of these fitted models are highly significant with large proportion of variance explained. Moreover, these models are stable more than 99%. The stability of R2 of these models is more than 99%. Hence, the fittings of these models are well. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 G. M. Moatimid,Rehab M. El –Shiekh,Abdul-Ghani A. A. H. Al-NowehyIn this paper, the modified Kudryashov method (the rational Exp-function method) with the aid of symbolic computation has been applied to obtain exact solutions of the (2+1)-dimensional modified Korteweg-de Vries equations (mKdV) and nonlinear Drinfeld-Sokolov system. New exact solitary wave solutions are obtained with comparison of other solutions obtained before in literature. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 M. T. Darvishi,Maliheh Najafi,Mohammad NajafiThe multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of the (2 + 1)- and the (3 + 1)-dimensional breaking soliton equations. By this application, we obtain one-wave, two-wave and three-wave solutions for these equations. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 H. Naroua,A. S. Sambo,P. C. RamIn this paper, the finite element method is employed in order to study the MHD free convection heat generating fluid flow past an impulsively started vertical infinite plate when a strong magnetic field is imposed in a plane which makes an angle α with the normal to the plate. Numerical calculations have been carried out on the velocity and temperature distributions which are depicted graphically. The results obtained are discussed extensively in terms of the different parameters entering into the problem. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Sh. A. Nazirov,F. M. NuralievIn this work the mathematical model of processes of electro-magnetic fields’ effects on thin conducting plates by complex form, calculating algorithm mining by the joint using variation method and analytical method RFM and software for this algorithm and so calculating experiment are given PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Abiona T. O.,Adebowale S. A.,Fagbamigbe A. F.Mortality resulting from accidents and late admission of patients into modern health facility constitute a high proportion of all deaths in the developing countries. Information on patterns of admission of Accident and Emergency (AE) patients is valuable to caregivers in AE department in meeting patients’ seasonal needs. This retrospective study used gender-classified records of 79990 patients admitted into the AE unit between 1995 and 2006 in University College Hospital (UCH), Ibadan. We examined seasonal variation using trigonometric regression and moving average models. There exists significant difference in number of admission between males (X ̅=306.63,σ=69.56) and females (X ̅=248.85,σ=65.27).The analysis further showed that patient’s admission peaked in May and minimal in November. Seasonal index showed that the peak of number of patients admitted was observed in the last quarter of every year. This is an indication that admission occurs mostly during the festive periods where people travel home to celebrate with their love ones. The projected quarterly admissions for 2011 are (Q1=1488, Q2=1497, Q3=1632, Q4=1634) and for 2012 are (Q1=1490, Q2=1499, Q3=1634, Q4=1635). The hospital management should engage more caregivers and make available more resuscitating medical equipments during last quarter of each year and peak periods. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Neterindwa Ainea,Estomih S. Massawe,Oluwole Daniel MakindeThis paper examines the effect of Treatment and Infected Immigrants on the spread of Hepatitis C Virus (HCV) disease with Acute and Chronic stages. A nonlinear mathematical model for the problem is proposed and analysed qualitatively using the stability theory of the differential equations. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Globally, the disease free equilibrium is not stable due existence of forward bifurcation at threshold parameter equal to unity. However the disease becomes more endemic due to the presence of infected immigrants in the community. It is also shown that in the presence of treatment, the rate of infected immigrants (acute and chronic) decreases and consequently the treated infected individuals decreases continuously. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the treatment and infected immigrants on the spread of the disease with acute and chronic stages. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Rehab M. El -ShiekhIn this paper, the variable coefficient two-dimensional Burger equation is studied by two distinct methods. The Exp-function method with the aid of symbolic computation is used to derive soliton solutions of this equation. The - expansion method is used also to construct travelling wave solutions for the variable coefficient two-dimensional Burger equation with the aid of symbolic computation. The travelling wave solutions are expressed by the hyperbolic, the trigonometric functions and rational functions. The study highlights the significant features of the employed methods and its capability of handling exact solutions for the variable coefficient two-dimensional Burger equation without any restric-tions on the form of the variable coefficient. The obtained solutions are considered new with the comparison of other solu-tions obtained before. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Awoke AndargieFitted fourth order central difference scheme is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end point. A fitting factor is introduced in a tri-diagonal finite difference scheme and is obtained from the theory of singular perturbations. Thomas Algorithm is used to solve the system and its stability is investigated. To demonstrate the applicability of the method, we have solved linear and nonlinear problems. From the results, it is observed that the present method approximates the exact solution very well. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Anupam Khanna,Ashish Kumar SharmaVisco- Elastic Plates are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. Plates with variable thickness are of great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. The analysis is presented here is to study the two dimensional thermal effect on vibration of visco-elastic square plate of variable thickness. Temperature & thickness both vary linearly in one direction and parabolically in another direction. A frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 A. Nikkar,M. MighaniIn this paper, we extend variational iteration method (VIM) for deriving approximate analytical solution to seventh-order differential equations with specified initial conditions, also in this paper we applied a modified method to identification of Lagrange multiplier .By providing some examples, we illustrate the capability and reliability of the method. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Timo SaksalaIt has been observed numerically that the viscoplastic consistency model by Wang (1997) with a linear yield surface and a linear hardening/softening rule converges, using the standard stress return mapping, with two steps. In this paper this numerical observation is proved analytically using the Maple software. The proof is carried out for the Modified Mohr-Coulomb viscoplastic consistency model in the corner plasticity situation, i.e. when both the Rankine and Mohr-Coulomb criteria are violated. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 H. S. Prasad,Y. N. Reddy In this paper, we have presented the Differential Quadrature Method (DQM) for finding the numerical solution of boundary-value problems for a singularly perturbed differential-difference equation of mixed type, i.e., containing both terms having a negative shift and terms having a positive shift. Such problems are associated with expected first exit time problems of the membrane potential in models for the neuron. The Differential Quadrature Method is an efficient descritization technique in solving initial and/or boundary value problems accurately using a considerably small number of grid points. To demonstrate the applicability of the method, we have solved the model examples and compared the computational results with the exact solutions. Comparisons showed that the method is capable of achieving high accuracy and efficiency. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 K. Maleknejad,K. MahdianiIn this paper, the piecewise constant Block-Pulse functions and their operational matrices of integration have directly been used to solve a two-dimensional Fredholm-Volterra integral equation of second kind. This method presents a computational technique through converting this integral equation into a system of linear equations which can be easily solved by the known methods. Also the error analysis of this method will be considered. The efficiency and accuracy of the proposed method are illustrated by some examples. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Bhaskar SrivastavaTwo sets of mock theta functions were developed, one by Andrews and the other by Bringmann et al. We have given two generalizations and shown they belong to the class of -functions. Relations between these generalized functions is established. Later we give q-Integral representation and multibasic expansions of these generalized -functions. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Terje KristensenIn this work a hybrid technique for classification of fingerprint identification has been developed to decrease the matching time. For classification, a Support Vector Machine (SVM) and a Multi-Layered Perceptron (MLP) network are described and used. Automatic Fingerprint Identification Systems (AFIS) are widely used today, and it is therefore necessary to find a classification system that is less time-consuming. The fingerprint patterns generated are based on minutiae extraction from a thinned fingerprint image. The given fingerprint database is decomposed into four different subclasses. Two different classification regimes are used to train the systems to do correct classification. The classification rate has been estimated to about 87.0 % and 88.8% of unseen fingerprints for SVM and MLP classification respectively. The classification rate of both systems is only differing marginally.A benchmark test has been done for both systems. The matching time is estimated to decrease with a factor of about 3.7 compared to a brute force approach. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Umar Ahmad Egbako,Kayode R. AdeboyeThe paper describes a one-step, six-order method for treating stiff differential equations using Pade rational functions. Dalquist’s model test equation was used to analyze its basic properties. The results show that the method is consistent and convergent. Numerical results and comparative analysis with some methods show that the method is very efficient and more accurate. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 G. M. Moatimid,M. H. M. Moussa,Rehab M. El-Shiekh,A. A. El-SatarIn this paper, we have analyzed the integrability properties of complexly coupled KdV system, and discuss the integrability properties through Painlevé (P) analysis. Further, we using Bäcklund transformation to obtain exact solutions of complexly coupled KdV system PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Stefan A. Pape,Tzvetalin S. VassilevWe consider the problem of finding the staircase kernel in orthogonal polygons, with or without holes, in the plane. Orthogonal polygon is a simple polygon in the plane whose sides are either horizontal or vertical. We generalize the notion of visibility in the following way: We say that two points a and b in an orthogonal polygon P are visible to each other via staircase paths if and only if there exist an orthogonal chain connecting a and b and lying entirely in the interior of P. Furthermore, the orthogonal chain should have the property that the angles between the consecutive segments in the chain are either or , and these should alternate along the chain. There are two principal types of staircases, NW-SE and NE-SW. The notion of staircase visibility has been studied in the literature for the last three decades. Based on this notion we can generalize the notion of star-shapedness. A polygon P is called star-shaped under staircase visibility, or simply s-star if and only if there is nonempty set of points S in the interior of P, such that any point of S sees any point of P via staircase path. The largest such set of points is called the staircase kernel of P and denoted ker P. Our work is motivated by the work of Breen [1]. She proves that the staircase kernel of an orthogonal polygon without holes is the intersection of all maximal orthogonally convex polygons contained in it. We extend Breen's results for the case when the orthogonal polygon has holes. We prove the necessary geometric properties, and use them to derive a quadratic time, O() algorithm for computing the staircase kernel of an orthogonal polygon with holes, having n vertices in total, including the holes' vertices. The algorithm is based on the plane sweep technique, widely used in Computational Geometry[4]. Our result is optimal in the case of orthogonal polygon with holes, since the kernel (as proven) can consist of quadratic number of disjoint regions. In the case of polygon without holes, there is a linear time algorithm by Gewali[3], that is specific to the case of a polygon without holes. We present examples of our algorithm's results. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Nabil T. M. El-Dabe,M. H. M. Moussa,Rehab M. El –Shiekh,H. A. HamdyIn this paper, we use two integral methods, the first integral method and the direct integral method to study a higher-order nonlinear Schrödinger equation (NLSE). The application of the first integral method yield trigonometric function solutions and solitary wave solutions. Using the direct integration lead to shock wave solution and Jacobi elliptic function solutions. The direct integral method is more concise and direct than the first integral method. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Yogesh Gupta,Manoj KumarIn the present paper, a numerical algorithm using fifth degree quintic B-spline for fourth order singular perturbation problem has been developed. The most of the numerical methods used for higher order singularly perturbed boundary value problems transform the problems into equivalent system of first and/or second order differential equations. However, in the present method, fifth degree B-spline is applied directly to the problem without transforming the problem into an equivalent system. The method uses values of fifth degree B-spline function and its derivatives up to the order four at nodal points. Resulting system of equations is solved to get the required quintic B-spline solution. Since perturbed problems contain boundary layers, the strategy of fitted mesh is used which assigns more mesh points in the boundary layer regions. The algorithm is tested on two problems to demonstrate the practical usefulness and superiority of the approach. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 H. P. Rani,G Janardhana ReddyIn this paper the effects of magnetic field and conduction on the transient free convective boundary layer flow over a vertical slender hollow circular cylinder with the inner surface at a constant temperature are investigated. The transformed dimensionless governing equations for the flow and conjugate heat transfer are solved by using the implicit finite difference scheme. For the validation of the current numerical method heat transfer results for a Newtonian fluid case where the magnetic effect and conduction is zero are compared with those available in the existing literature, and an excellent agreement is obtained. Numerical results for the transient flow variables, average wall shear stress and average heat transfer rate are shown graphically. In all these profiles it is observed that the times needed to reach the steady-state and the temporal maximum increases as the magnetic parameter or conjugate heat transfer parameter increases. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Olanrewaju P. O,Anake T,Arulogun O. T,Ajadi D. A.The steady, laminar boundary layer flow with a convective boundary condition, to a continuously moving flat plate is studied taking into account the variation of viscosity with temperature in the presence of a magnetic field, heat generation and thermal radiation. The fluid viscosity is assumed to vary as a linear function of temperature. The resulting, governing equations are non-dimensionalized and transformed using a similarity transformation and then solved numerically by sixth order Runge-Kutta method alongside with shooting method. Comparison with previously published work is performed and there was a perfect agreement at large value of the Biot number. A parametric study of all the embedded flow parameters involved is conducted, and a representative set of numerical results for the velocity and temperature profiles as well as the skin-friction parameter and the Nusselt number is illustrated graphically to show typical trend of the solutions. It is worth pointing out that, when the variation of viscosity with temperature is strong in the presence of the effect of a magnetic field, radiation, heat generation, the results of the present work are completely different from those that studied the same problem in the absence of magnetic field, thermal radiation and the heat generation. It is interesting to note that higher the values of Prandtl number lesser the effects of Biot number and the magnetic field intensity. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 GBSL. Soujanya,Y. N. Reddy,K. PhaneendraIn this paper, an exponential fitted method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point via deviating argument. The original second order boundary value problem is transformed to first order differential equation with a small deviating argument. This problem is solved efficiently by using exponential fitting and discrete invariant imbedding method. Maximum absolute errors of several standard examples are presented to support the method. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Maged G. IskanderIn this paper, the weighted goal program is reformulated as a lexicographic goal program with two main goals. The first goal, which has the first priority, seeks to minimize the maximum weighted undesired normalized deviation. The second goal, having the second priority, minimizes the sum of the undesired normalized deviations. This approach provides a solution that is consistent with the weighting scheme. The suggested approach is illustrated by numerical example. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Terje Kristensen In this work a hybrid technique for classification of fingerprint identification has been developed to decrease the matching time. For classification, a Support Vector Machine (SVM) and a Multi-Layered Perceptron (MLP) network are described and used. Automatic Fingerprint Identification Systems (AFIS) are widely used today, and it is therefore necessary to find a classification system that is less time-consuming. The fingerprint patterns generated are based on minutiae extraction from a thinned fingerprint image. The given fingerprint database is decomposed into four different subclasses. Two different classification regimes are used to train the systems to do correct classification. The classification rate has been estimated to about 87.0 % and 88.8% of unseen fingerprints for SVM and MLP classification respectively. The classification rate of both systems is only differing marginally.A benchmark test has been done for both systems. The matching time is estimated to decrease with a factor of about 3.7 compared to a brute force approach. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 T. Teper,H. Matzner,P. MalitsThe efficiency of the Moment Method (MM) when the expansion functions are defined in the infinite domain is checked. It is shown that efficient solution is obtained when the expansion functions obey the known physical behaviour of the fields. The age-old problem of the thin, charged disk is solved by the MM for which an electric field component is expanded outside the body. This solution is compared to the known analytic solution and to the MM solution for which the surface charge density is expanded on the finite disk. An excellent agreement between the analytical solution and the MM solution based on expansion functions defined in the infinite domain was achieved. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 I. Jayakaran Amalraj,S. Narasimman,A. KandasamyThe combined effects of fluid inertia and viscous forces of a Herschel-Bulkley lubricant in an externally pressurized thrust bearing with circular geometry have been analyzed theoretically. Although the researchers of the past, laid out a foundation for the hydrodynamic lubrication, modern researchers intend to use non-Newtonian fluids characterized by a yield-value, such as Bingham, Casson and Herschel-Bulkley fluids as lubricants. More over, Tribologists emphasize a fact that in order to analyze the performance of the bearings adequately, it is necessary to consider the combined effects of fluid inertia and viscous forces of non-Newtonian lubricants. Therefore, in this research article, the combined effects of fluid inertia and viscous forces have been investigated theoretically in an externally pressurized thrust bearing with circular geometry using Herschel-Bulkley fluid as lubricant. The shape and extent of the core, along the radius, have been determined numerically for various values of the Herschel-Bulkley number and the power-law index. Using the appropriate boundary conditions, the velocity distributions in the flow and the core regions have been obtained. By considering the equilibrium of an element of the core in the fluid, the modified pressure gradient has been evaluated and thereby the film pressure and the load capacity of the bearing have been obtained numerically for different values of Reynolds number, Herschel-Bulkley number and power-law index. The effects of the inertia forces and the non-Newtonian characteristics of the lubricant, on the bearing performances have also been discussed. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Rajan Arora,Sanjay Yadav The (G`/G)-expansion method is used for determining the exact traveling wave solutions of the Burgers-KdV and generalization of Huxley equations. The obtained solutions are compared with the solutions found by Wazwaz[18]. The (G`/G)-method is very powerful and easy tool for solving non-linear partial differential equations PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Chokri Mechmeche,Hamdi Habib,Mickael Rodrigues,Naceur BenHadjBraiekIn this note, the problem of states and unknown inputs estimation of nonlinear descriptor system is considered. The methodology is based on the use of Proportional Integral and Unknown Input Observers. The considered nonlinear descriptor system is transformed into an equivalent multi-models form by using the Takagi-Sugeno (T-S) approach. In this paper, the design methods of both proportional integral observers and unknown inputs observers for descriptor multi-models are described in detail. Sufficient conditions of stability analysis and gain matrices determination are performed by resolving a set of Linear Matrices Inequalities (LMIs). The design method offers all the degrees of design freedom, which can be utilized to achieve various desired system specifications and performances and, thus, has great potentials in applications. A numerical example is employed to show the design procedure of these two observers and illustrate the effect of the proposed approach. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 N. Senapati,R. K. Dhal,T. K. DasThe effects of chemical reaction in two dimensional steady free convective flow of an electrically conducting viscous fluid through a porous medium bounded by vertical surface with slip flow region has been studied. A uniform magnetic field is assumed to be applied transversely in the direction of the flow. . A chemically reactive species is emitted from the vertical surface into the flow field. The governing equations are developed by usual Boussinesq’s approximation .The problem is solved by regular perturbation technique. The expressions for the velocity field, temperature field, species concentration, shearing stress and the coefficient of heat transfer (in terms of Nusselt number) at the walls are obtained and their nature has been discussed by means of graphs. The effects of Hartmann number, the rarefaction parameter ,the porous parameter, Schmidt number and chemical reaction parameter on the flow are discussed. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Rajesh C. Shah,Nayan I. Patel This paper discusses about the slider bearing of various shapes stator pad surfaces (e.g. inclined plane, exponential, secant, convex, and parallel) including combined effects of porosity at both the ends, anisotropic permeability, slip velocity, and squeeze velocity. Expression for load capacity is obtained in general and discussed for various cases of stator pad surface to explore its possible effects on the above system for different permeabilities at both the ends. Various sizes of the porous matrix at both the ends are also discussed for the possible optimization of bearing performance. From the study we conclude that better load capacity is obtained when the thickness of both the porous plates are small, and also when both the porous plates are of same size rather than different size. PubDate: 10/17/2012 17:17:24

Abstract: Publication year: 2011Source:American Journal of Computational and Applied Mathematics, Volume 1, Number 1 Jyoti Thorwe,Sachin BhalekarPartialintegro-differential equations (PIDE) occur naturally in various fields of science, engineering and social sciences. In this article, we propose a most general form of a linear PIDE with a convolution kernel. We convert the proposed PIDE to an ordinary differential equation (ODE) using a Laplace transform (LT). Solving this ODE and applying inverse LT an exact solution of the problem is obtained. It is observed that the LT is a simple and reliable technique for solving such equations. A variety of numerical examples are presented to show the performance and accuracy of the proposed method. PubDate: 10/17/2012 17:17:24