Application of Homotopy Perturbation Method on Some Linear and Nonlinear Periodic Equations

Abstract

In this paper, the homotopy perturbation method (HPM) which doesn’t small parameter is applied to solve the linear and nonlinear parabolic
equations. The HPM deforms a difficult problem into a simple problem which can be easily solved. It is implemented with appropriate initial
conditions. Comparison of the applied methods with exact solutions reveals that the method is tremendously effective.