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

Authors : Bilge INAN, Appanah Rao APPADU

Pages : 83-100

View : 12 | Download : 4

Publication Date : 2021-07-31

Article Type : Research Paper

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