THE IMPROVED RESIDUAL POWER SERIES METHOD FOR SOLVING SWIFT–HOHENBERG EQUATION

Abstract

In this work, the residual power series method (RPSM) and Yasser-Jassim transform residual power series method  (YJ-RPSM) are used to find the approximate solutions of partial differential equations. Furthermore, to show the accuracy and the efficiency of the presented methods, we compare the obtained approximate solutions of partial differential equations by RPSM and YJTRPSM numerically and analytically with the exact solution.