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

Author(s):

Morteza Bisheh Niasar *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Lane-Emden equation , singular IVPs , Compact finite difference

Language:
English
Published:
Computational Methods for Differential Equations, Volume:8 Issue: 4, Autumn 2020
Pages:
673 to 684
https://www.magiran.com/p2197030