AJCM  Vol.4 No.3 , June 2014
An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation
Abstract: In this work we apply the differential transformation method or DTM for solving some classes of Lane-Emden type equations as a model for the dimensionless density distribution in an isothermal gas sphere and as a study of the gravitational potential of (white-dwarf) stars , which are nonlinear ordinary differential equations on the semi-infinite domain [1] [2]. The efficiency of the DTM is illustrated by investigating the convergence results for this type of the Lane-Emden equations. The numerical results show the reliability and accuracy of this method.
Cite this paper: Alzate, P. (2014) An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation. American Journal of Computational Mathematics, 4, 242-253. doi: 10.4236/ajcm.2014.43021.

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