Application of Homotopy Perturbation Method to Nonlinear System of PDEs

Abstract

In this study, Homotopy Perturbation Method (HPM) is used to obtain the analytically exact solution of linear and nonlinear systems of partial differential equations (PDEs). The efficiency and accuracy of HPM are demonstrated through several test examples. HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution is obtained without any noise terms.

Keywords: Homotopy Perturbation Method, Linear and Nonlinear system of PDEs.