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

作     者：Pedro Pablo Cardenas Alzate William Ardila Uruena 

作者机构：Department of MathematicsUniversidad Tecnologica de PereiraPereiraColombia Department of PhysicsUniversidad Tecnologica de PereiraPereiraColombia 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2013年第4卷第10期

页      面：28-32页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Zhou’s Method DTM Lane-Emden Type Equation White-Dwarfs 

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.