The Zhou’s Method for Solving the White-Dwarfs Equation

• 作者: Pedro Pablo Cárdenas Alzate William Ardila Urue?a
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Zhou’s METHOD DTM Lane-Emden Type EQUATION White-Dwarfs
• 年，卷（期）: 2013,（10）
• 页码范围: 28-32
• 页数: 5页
• 分类号: O1

摘要

In this work we apply the differential transformation method (Zhou’s method) or DTM for solving white-dwarfs equation which Chandrasekhar [1] introduced in his study of the gravitational potential of these degenerate (white-dwarf) stars. DTM may be considered as alternative and efficient for finding the approximate solutions of the initial values problems. We prove superiority of this method by applying them on the some Lane-Emden type equation, in this case. The power series solution of the reduced equation transforms into an approximate implicit solution of the original equation.