Solution of Modified Equations of Emden-Type by Differential Transform Method

Supriya Mukherjee, Banamali Roy, Pratik Kumar Chatterjee
DOI: 10.4236/jmp.2011.26065                

Abstract

In this paper the Modified Equations of Emden type (MEE), χ+αχχ+βχ ³ is solved numerically by the differential transform method. This technique doesn’t 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.

Keywords

Modified Equations of Emden Type, Differential Transforms Method, Runge-Kutta 4 (RK4) Method

Conflicts of Interest

The authors declare no conflicts of interest.

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