Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 228, Issue 23, Pages 8830-8840Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.08.029
Keywords
Lane-Emden equation; Rational Legendre; Pseudospectral approach; Nonlinear ODE; Semi-infinite
Funding
- Shahid Beheshti University
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Lane-Emden equation is a nonlinear singular equation in the astrophysics that corresponds to the polytropic models. In this paper, a pseudospectral technique is proposed to solve the Lane-Emden type equations on a semi-infinite domain. The method is based on rational Legendre functions and Gauss-Radau integration. The method reduces solving the nonlinear ordinary differential equation to solve a system of nonlinear algebraic equations. The comparison of the results with the other numerical methods shows the efficiency and accuracy of this method. (C) 2009 Elsevier Inc. All rights reserved.
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