TITLE:
An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation
AUTHORS:
Pedro Pablo Cárdenas Alzate
KEYWORDS:
Differential Transformation, Lane-Emden, Isothermal Gas Sphere, White-Dwarfs, Iterative Method
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.3,
June
24,
2014
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.