On the Implicit Exponential Finite Difference Method for the Generalized Burgers-Fisher Equation

Abstract

In this paper, we construct implicit exponential finite difference method to solve the Fisher’s, the Burgers-Fisher and the generalized Burgers-Fisher equations with specified initial and boundary conditions. We obtain plots of absolute errors vs x at some values of time t . We compare some of our numerical results with those obtained by other authors using methods such as Adomian Decomposition method, Exp-function method hybridized with Heuristic Computation and Optimal Homotopy Asymptotic method by computing absolute errors at some values of space x and time t .