The Comparison of the Numerical and Analytical Solutions of Boundary Value Problems Using Finite Difference Method

Abstract

Finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. In this research work, we have demonstrated the numerical methods for solving ordinary differential equations, starting with basic techniques of finite difference method for boundary value problem. We used finite difference method to provide numerical solutions for the boundary value problem and the results are compared with exact solution. The graphical summaries of the system responses are provided in this paper.