文章基本信息

标题：An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation
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作者：Pedro Pablo Cárdenas Alzate
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2014
卷号：04
期号：03
页码：242-253
DOI：10.4236/ajcm.2014.43021
语种：English
出版社：Scientific Research Publishing
摘要：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.
关键词：Differential Transformation; Lane-Emden; Isothermal Gas Sphere; White-Dwarfs; Iterative Method