Approximate polynomial solutions of the nonlinear Lane-Emden type equations arising in astrophysics using the squared remainder minimization method
In this paper we use a recently introduced approximation method to compute analytical approximate polynomial solutions for some well-known classes of Lane-Emden type equations. The method, called the squared remainder minimization method, is tested on several applications of the Lane-Emden equations including the standard Lane-Emden equation, the white-dwarf equation and the isothermal gas spheres equation. The results of an extensive comparison with previous results emphasizes the accuracy of the method. (C) 2013 Elsevier B.V. All rights reserved.
astrophysics lane emden type equation nonlinear differential equation approximate analytical polynomial solution