APPROXIMATE SOLUTION FOR NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS BY HOMOTOPY PERTURBATION-BASED TECHNIQUE

In this paper, we present an effective semi-analytical method for solving non-linear partial differential equations that arise in various scientific and engineering fields. The Homotopy Perturbation Method (HPM) combines the concepts of homotopy analysis and perturbation theory to obtain approximate solutions for diverse partial differential equations. Several numerical examples are presented to illustrate the accuracy and efficiency of the proposed method.