On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method

Abstract

The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear diffe-rential equations. Three case study problems of Burgers-Huxley are solved using the HPM and the exact solutions are obtained. The rapid convergence towards the exact solutions of HPM is nu-merically shown. Results show that the HPM is efficient method with acceptable accuracy to solve the Burgers-Huxley equation. Also, the results prove that the method is an efficient and powerful algorithm to construct the exact solution of non-linear differential equations.