Application of Homotopy Perturbation Method to Linear and Nonlinear Partial Differential Equations

Abstract

During the recent years, the studies and researches concentrated on the topic of Homotopy perturbation method, for being one the modern and effective methods for solving miscellaneous types of differential equations, ordinary or partial, linear or nonlinear. Homotopy perturbation was paid much attention by many searchers, it has become a fruitful field for study and research, and for this reason the main goal of this thesis is to study a class of partial differential equations by using Homotopy perturbation method. This method was introduced by Ji-Huan He (1999) and has gone through many modification and development which allowed researchers to apply it on various problems. The necessary papers have been collected for the topic of the study and summarizing the results of the study and present the chapters of the thesis that included a general introduction and five chapters through which we sought present the basic concepts necessary for understanding the content of the thesis.