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

Year 2021, Volume: 2 Issue: 2, 83 - 100, 31.07.2021

Bilge Inan , Appanah Rao Appadu

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 .

Keywords

Fisher equation, Burgers-Fisher equation, Generalized Burgers-Fisher equation, Implicit exponential finite difference method.

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