A Successive Linearization Method Approach to Solve Lane-Emden Type of Equations

被引：2

作者：

Motsa, S. S. ^{[2
]}

Shateyi, S. ^{[1
]}

机构：

[1] Univ Venda, Dept Math, ZA-0950 Thohoyandou, South Africa

[2] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, Scottsville, South Africa

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷

关键词：

BOUNDARY-VALUE-PROBLEMS; POWER-SERIES SOLUTIONS; SINGULAR IVPS; ALGORITHM; POLYTROPES;

D O I：

10.1155/2012/280702

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a new application of the successive linearization method for solving singular initial and boundary value problems of Lane-Emden type. To demonstrate the reliability of the proposed method, a comparison is made with results from existing methods in the literature and with exact analytical solutions. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods.

引用

页数：14

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