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.