A Computational Method for Solving the Lane-Emden Initial Value Problems

Document Type : Research Paper


Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran.


In this work, we propose an efficient numerical algorithm based upon compact finite difference to solve Lane-Emden equations which are nonlinear ordinary differential equations. The presented method reduces the solution of Lane-Emden equations to the solution of a nonlinear system of equations. The numerical experiments show the accuracy and efficiency of this method.