Solution of Lane-Emden Type Differential Equations by Using Differential Transform Method

Abstract

The temperature in a self-gravitating star has been widely described in astrophysics by the Lane-Emden differential equation. To solve the non-linear equations, the Lane-Emden differential equation is used as a prototype for testing new mathematical and numerical techniques. The problems of singular initial value of Lane-Emden type was solved by the Differential Transform Method in this study. This method is applicable to solve various linear and nonlinear problems which decrease size of computational work. Here, we introduced some numerical problems to describe the high accuracy and efficiency of our proposed method.