Solution of system of ordinary differential equations by optimal homotopy asymptotic method Available to Purchase

In this article, we investigate the effectiveness of the optimal homotopy asymptotic method (OHAM), which is a well-known procedure for solving first order nonlinear system of differential equations and any differential equation of any order by converting it into a system of first order. OHAM provides us with a very simple manner to control and adjust the convergence of the series solution using the auxiliary function involving several convergent control parameters which are optimally determined. The ability and efficiency of this procedure was proved throughout the results which obtained from one iteration compared with five iteration using Adomian decomposition method (ADM).