Numerical Treatment of Fisher’s Equation using Finite Difference Method

Abstract

A numerical method is proposed to approximate the solutions of nonlinear Fisher reaction diffusion equation using finite difference method. Fisher’s equation describes the process of interaction between diffusion and reaction. The method is based on replacing each term in the Fisher’s equation using finite difference method. Fisher equation has many applications in science and engineering fields. In this paper we study Du-Fort Frankel finite difference method for Fisher’s equation. This method is derived from Leapfrog explicit scheme.