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

• 作者: Pedro Pablo Cárdenas Alzate
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Differential Transformation Lane-Emden ISOTHERMAL Gas SPHERE White-Dwarfs ITERATIVE Method
• 年，卷（期）: 2014,（3）
• 页码范围: 242-253
• 页数: 12页
• 分类号: O1

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.