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


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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