Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation

被引：50

作者：

Lakestani, Mehrdad ^{[1
,2
]}

Dehghan, Mehdi ^{[3
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[2] Univ Tabriz, Res Ctr Ind Math, Tabriz, Iran

[3] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 16期

关键词：

B-spline function; Lane-Emden equation; operational matrix of derivative; operational matrix of integration; astrophysics; SOLVING DIFFERENTIAL-EQUATIONS; INITIAL-VALUE PROBLEMS; SINGULAR IVPS; BOUNDARY-CONDITIONS; FOWLER EQUATIONS; ALGORITHM;

D O I：

10.1002/mma.2755

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Four numerical techniques based on the linear B-spline functions are presented for the numerical solution of the Lane-Emden equation. Some properties of the B-spline functions are presented and are utilized to reduce the solution of the Lane-Emden equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new techniques. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2243 / 2253

页数：11

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