A Computational Method for Solving the Lane-Emden Initial Value Problems
نویسندگان
1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran.
doi
10.22034/cmde.2020.31901.1488چکیده
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.