The rational Chebyshev of second kind collocation method for solving a class of astrophysics problems

被引：21

作者：

Parand, K. ^{[1
]}

Khaleqi, S. ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, Dept Comp Sci, Tehran 19839, Iran

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2016年 / 131卷 / 02期

关键词：

LANE-EMDEN TYPE; INITIAL-VALUE PROBLEMS; ADOMIAN DECOMPOSITION METHOD; VARIATIONAL ITERATION METHOD; HOMOTOPY ANALYSIS METHOD; VOLTERRA INTEGRAL FORM; DIFFERENTIAL-EQUATIONS; OPERATIONAL MATRIX; TAU-METHOD; PSEUDOSPECTRAL METHODS;

D O I：

10.1140/epjp/i2016-16024-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lane-Emden equation has been used to model several phenomena in theoretical physics, mathematical physics and astrophysics such as the theory of stellar structure. This study is an attempt to utilize the collocation method with the rational Chebyshev function of Second kind (RCS) to solve the Lane-Emden equation over the semi-infinite interval [0,+infinity[. According to well-known results and comparing with previous methods, it can be said that this method is efficient and applicable.

引用

页码：1 / 24

页数：24

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