Solution of Linear and Nonlinear Differential Equations by Combind Homotopy Perturbation Method and Sumudu Transform

Abstract

This study is mainly focusing on the application of the homotopy perturbation method and Sumudu transform of the linear and nonlinear partial differential equations. It has established some theorems, definitions and properties of homotopy perturbation method and Sumudu transform. The study combines the homotopy perturbation method and Sumudu transform. Consequently, it gives the solution in series form and approximates components, and finds the exact solution. Then, it is applied to solve linear and nonlinear PDEs. Finally, the solutions of linear and nonlinear PDEs by this method, and the other methods will be compared.