Haar wavelet method for solving generalized Burgers–Huxley equation

Abstract

In this paper, an efficient numerical method for the solution of nonlinear partial differential equations based on the Haar wavelets approach is proposed, and tested in the case of generalized Burgers–Huxley equation. Approximate solutions of the generalized Burgers–Huxley equation are compared with exact solutions. The proposed scheme can be used in a wide class of nonlinear reaction–diffusion equations. These calculations demonstrate that the accuracy of the Haar wavelet solutions is quite high even in the case of a small number of grid points. The present method is a very reliable, simple, small computation costs, flexible, and convenient alternative method. © 2011