| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1705732 | Applied Mathematical Modelling | 2012 | 7 Pages |
Abstract
In this paper, a numerical method for singular initial value problems of the Lane–Emden type in the second-order ordinary differential equations is proposed. The method changes solving the equation to solving a Volterra integral equation. We have applied the improved Legendre-spectral method to solve Lane–Emden type equations. The Legendre Gauss points are used as collocation nodes and Lagrange interpolation is employed in Volterra term. The results reveal that the method is effective, simple and accurate.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ali Mohamadnejad Rismani, Hossein Monfared,