A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method

被引：6
|
作者：
Yang, Changqing [1 ]
Hou, Jianhua [1 ]
机构：
[1] Huaihai Inst Technol, Dept Sci, Lianyungang 222005, Jiangsu, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
SOLVING DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION; ALGORITHM;
D O I：
10.1155/2012/316534
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.
引用
收藏
页数：9
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