Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains
arXiv:1008.2313 · doi:10.1016/j.actaastro.2010.05.015
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.
16 pages, 1 figures; Published online in the journal of "Acta Astronautica"
References in corpus (1)
Cited by in corpus (4)
- RBF DQ Method for Solving Nonlinear Differential Equations of Lane Emden type
- Numerical integration in celestial mechanics: a case for contact geometry
- The application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics
- Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem