Comparison of homotopy perturbation and homotopy analysis method for some partial differential equations

In this study, Homotopy perturbation and Homotopy analysis methods are applied to some partial differential equations and the obtained solutions are compared with analytical solutions. This paper consists of five chapters. In the first section we give a broad overview of the literature on homotopy perturbation and homotopy analysis methods. In the second section, the basic definitions that we will use are mentioned. in the third chapter, some Homotopy perturbation and Homotopy master perturbation, which we use to solve partial differential equations. lysis methods are given. These methods are also applied to Fisher and Helmoltz equations and some partial differential systems of equations. In the fourth part, some partial differential equations are analyzed with these two method and comparisons were made. Finally, in the fifth section, we present the results related to these equations. Suggestions were made for future work.