TITLE:
Solution of Modified Equations of Emden-Type by Differential Transform Method
AUTHORS:
Supriya Mukherjee, Banamali Roy, Pratik Kumar Chatterjee
KEYWORDS:
Modified Equations of Emden Type, Differential Transforms Method, Runge-Kutta 4 (RK4) Method
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.6,
July
1,
2011
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.