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B. Y. Guo, “Gegenbauer Approximation and Its Applications to Differential Equations on the Whole Line,” Jour- nal of Mathematical Analysis and Applications, Vol. 226, No. 1, 1998, pp. 180-206. doi:10.1006/jmaa.1998.6025

has been cited by the following article:

• TITLE: An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes

  AUTHORS: Ali Pirkhedri, Parisa Daneshjoo, Hamid Haj Seyyed Javadi, Hamid Navidi, Salem Khodamoradi, Kamal Ghaderi

  KEYWORDS: Lane-Emden equation, Generalized Laguerre functions, Collocation method, Hermite-Gauss nodes, Nonlinear ODE, Semi-infinite

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.1 No.2, June 30, 2011

  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.