The differential transform approximation for the system of ordinary differential equations

Abstract

We present a comparative study of the differential transformation for solving systems of linear or non-linear ordinary differential equations (ODEs). A remarkable practical feature of this method is its ability to solve the system of linear or non-linear differential equations efficiently. This method also enables us to control the truncation error by adjusting the step size used in the numerical scheme. We apply our results to some initial value problems to demonstrate the ability of the method to solve systems of differential equations.