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An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed hermite-gauss nodes

引用

International Journal of Astronomy and Astrophysics 2011年第2期1卷 67-72页

作者： Ali Pirkhedri Parisa Daneshjoo Hamid Haj Seyyed Javadi Hamid Navidi Salem Khodamoradi Kamal Ghaderi 不详

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.