An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes ()
ABSTRACT
In this paper we propose a collocation method for solving Lane-Emden type equation which is nonlinear or-dinary differential equation on the semi-infinite domain. This equation is categorized as singular initial value problems. We solve this equation by the generalized Laguerre polynomial collocation method based on Her-mite-Gauss nodes. This method solves the problem on the semi-infinite domain without truncating it to a fi-nite domain and transforming domain of the problem to a finite domain. In addition, this method reduces so-lution of the problem to solution of a system of algebraic equations.
Share and Cite:
A. Pirkhedri, P. Daneshjoo, H. Javadi, H. Navidi, S. Khodamoradi and K. Ghaderi, "An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes,"
International Journal of Astronomy and Astrophysics, Vol. 1 No. 2, 2011, pp. 67-72. doi:
10.4236/ijaa.2011.12010.