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An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation
Department of Mathematics, Universidad Tecnológica de Pereira, Pereira R, Colombia
- 1 Department of Mathematics, Universidad Tecnológica de Pereira, Pereira R, Colombia
American Journal of Computational Mathematics·Volume 04 (2014)·Pages 242–253·Published 17 April 2014·DOI10.4236/ajcm.2014.43021
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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.
KeywordsDifferential TransformationLane-EmdenIsothermal Gas SphereWhite-DwarfsIterative Method
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