CONVERGENCE OF DIFFERENTIAL TRANSFORM METHOD ON NON-LINEAR SYSTEMS OF EQUATIONS

Abstract

In this paper, the convergence of differential transform method on non-linear systems of ordinary differential equation is considered. The approximate solutions of the initial value problems are calculated in series form with easily computable terms and the convergence of the method is showcased with some examples which are presented to show the efficiency of the method. Analytical solutions of the non-linear equations have been investigated and the results illustrate the reliability and the performance of the differential transform method. The results obtained are in good agreement with the Runge-Kutta method.