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

• 作者: Ali Pirkhedri Hamid Haj Seyyed Javadi Hamid Navidi Kamal Ghaderi Parisa Daneshjoo Salem Khodamoradi
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: Lane-Emden equation GENERALIZED Laguerre functions Collocation method Hermite-Gauss NODES Nonlinear ODE SEMI-INFINITE
• 年，卷（期）: 2011,（2）
• 页码范围: 67-72
• 页数: 6页
• 分类号: O1

摘要

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.