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.
