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arXiv · 1008.2313

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

K. Parand·A. R. Rezaei·A. Taghavi
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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.

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K. Parand, A. R. Rezaei, A. Taghavi. 2010-08-13. Lagrangian method for solving Lane-Emden type equation arising in astrophysics on semi-infinite domains. https://doi.org/10.1016/j.actaastro.2010.05.015

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