MODIFIKASI METODE HOMOTOPY PERTURBASI UNTUK PERSAMAAN NONLINEAR DAN MEMBANDINGKAN DENGAN MODIFIKASI METODE DEKOMPOSISI ADOMIAN

Abstract

This article discusses the modified homotopy perturbation methods based on Newton method, by combining techniques and homotopy perturbation, to solve nonlinear equations. Then the methods were compared with the modified Adomian decomposition methods. Analytically it is shown that the order of convergence of the method derived by taking three terms in perturbation techniques is three as the method obtained by modification methods Adomian decomposition. Taking four terms in perturbation techniques results a method, which is same from a method obtained by modification methods Adomian decomposition. Furthermore, the computational tests show that the method obtained by taking three terms in the perturbation technique is better than the Newton method, Steffensen method and homotopy perturbation method.