Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains

Physics – Mathematical Physics

Scientific paper

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16 pages, 1 figures; Published online in the journal of "Acta Astronautica"

Scientific paper

10.1016/j.actaastro.2010.05.015

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.

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