An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation

Pedro Pablo Cárdenas Alzate

Department of Mathematics, Universidad Tecnológica de Pereira, Pereira R, Colombia.

DOI: 10.4236/ajcm.2014.43021                

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.

Keywords

Differential Transformation, Lane-Emden, Isothermal Gas Sphere, White-Dwarfs, Iterative Method

Conflicts of Interest

The authors declare no conflicts of interest.

References

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