Solution of Modified Equations of Emden-type by Differential Transform Method: New Perspectives

Abstract

In this paper the Modified Equations of Emden type (MEE),  is solved numerically by the differential transform method. This technique doesnt require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computation. The current results of this paper are in excellent agreement with those provided by Chandrasekar et al. [1] and thereby illustrate the reliability and the performance of the differential transform method. We have also compared the results with the classical Runge-Kutta 4 (RK4) Method.