Nonlinear two-point boundary value problems: applications to a cholera epidemic model

Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

A variational approach to nonlinear two-point boundary value problems

The main purpose of this paper is to analyze the variational iteration method for solving the two-point boundary value problems. We show that Wang [Shu-Qjang Wang, A variational approach to nonlinear two-point boundary value problems, Comput. Math. Appl. 58 (2009) 2452-2455] demonstrated some incorrect solutions for two-point boundary value problems studied by means of the variational approach....

Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory

In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference schem...

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation