Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations

Abstract

Here, a new method called Aboodh transform homotopy perturbation method<br />(ATHPM) is used to solve nonlinear partial di erential equations, we present<br />a reliable combination of homotopy perturbation method and Aboodh transform<br />to investigate some nonlinear partial di erential equations. The nonlinear<br />terms can be handled by the use of homotopy perturbation method. The results<br />show the e ciency of this method. Aboodh transform was introduced<br />by Khalid Aboodh to facilitate the process of solving ordinary and partial<br />differential equations in the time domain.