APPLICATION OF ADOMIAN METHOD TO NONLINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Abstract

Adomian Decomposition Method (ADM) is of a great important to mathematicians nowadays. In this paper, ADM and Kutta-4-Method were applied to nonlinear systems of ordinary differential equations. From a comparison study, it was found that ADM offers a simple and more accurate approximate solution. Also, a higher-order nonlinear ordinary differential equation was transformed to the corresponding system of equations. Both equation and corresponding system were solved. A comparison study using ADM shows that, this transformation simplifies calculations.