Article citationsMore>>

P. G. L. Leach, S. Cotsakis and G. P. Flessas, “Symmetries, Singularities and Integrability in Complex Dynamics II: Rescalings and Time-Translations in 2D Systems”, J. Math. Anal. Appl., Vol. 251, 2000, pp. 587-608.

has been cited by the following article:

• 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.