Application of Homotopy Perturbation Transform Method to Resolve Lane , Emden and Emden , Fowler Equations

Abstract

In this study, we will apply homotopy perturbation transform method (HPTM) to solve Lane-Emden and Emden-Fowler equations and we will also make a comparison between the result obtained by this method and the exact solutions of the same equations presented in other research. The results showed that HPTM has a high eciency and eectiveness in solving these equations and can be applied to other nonlinear partial dierential equations to obtain approximate or exat solutions