An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

被引：188

作者：

Parand, K. ^{[2
]}

Dehghan, Mehdi ^{[1
]}

Rezaei, A. R. ^{[2
]}

Ghaderi, S. M. ^{[2
]}

机构：

[1] Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

[2] Shaheed Beheshti Univ Med Sci, Dept Comp Sci, G C Tehran, Iran

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 06期

关键词：

Lane-Emden type equations; Nonlinear ODE; Collocation method; Hermite functions; Isothermal gas spheres; Astrophysics; HOMOTOPY-PERTURBATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; INITIAL-VALUE PROBLEMS; ADOMIAN-PADE TECHNIQUE; CHEBYSHEV TAU-METHOD; UNBOUNDED-DOMAINS; SPECTRAL METHODS; SEMIINFINITE INTERVAL; PSEUDOSPECTRAL METHOD;

D O I：

10.1016/j.cpc.2010.02.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain They are categorized as singular initial value problems The proposed approach is based on a Herniae function collocation (HFC) method To illustrate the reliability of the method, some special cases of the equations are solved as test examples The new method reduces the solution of a problem to the solution of a system of algebraic equations Hermite functions have prefect properties that make them useful to achieve this goal. We compare the present work with some well-known results and show that the new method is efficient and applicable COD (C) 2010 Elsevier B V All rights reserved

引用

页码：1096 / 1108

页数：13

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