Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains
Mathematical Physics
2014-11-21 v2 Instrumentation and Methods for Astrophysics
Computational Engineering, Finance, and Science
math.MP
Numerical Analysis
Abstract
In this paper we propose a Lagrangian method for solving Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based on a Modified generalized Laguerre functions Lagrangian method. The method reduces the solution of this problem to the solution of a system of algebraic equations. We also present the comparison of this work with some well-known results and show that the present solution is acceptable.
Keywords
Cite
@article{arxiv.1008.2313,
title = {Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains},
author = {K. Parand and A. R. Rezaei and A. Taghavi},
journal= {arXiv preprint arXiv:1008.2313},
year = {2014}
}
Comments
16 pages, 1 figures; Published online in the journal of "Acta Astronautica"