Finite Difference Method for Boundary Value Problems in Ordinary Differential Equations

Abstract

In this paper, a second order numerical method based on finite difference method with uniform mesh is presented for solving boundary value problems. Numerical solution is found for the boundary value problem using finite difference method and the results are tabulated and compared with analytical solution. Graphs are also depicted in support of the numerical results. The present method is simple and it approximates the exact solution very well.

Keywords: Boundary value problem, Finite Difference Method, Ordinary Differential Equations

DOI: 10.7176/MTM/9-10-03

Publication date: October 31^st 2019