A Coupled Method of Laplace Transform and Legendre Wavelets for Lane-Emden-Type Differential Equations

被引：8
|
作者：
Yin, Fukang [1 ]
Song, Junqiang [1 ]
Lu, Fengshun [2 ]
Leng, Hongze [1 ]
机构：
[1] Natl Univ Def Technol, Coll Comp, Changsha 410073, Hunan, Peoples R China
[2] China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, 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：
HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; SINGULAR IVPS; APPROXIMATE SOLUTION; ALGORITHM;
D O I：
10.1155/2012/163821
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms. The results show that the proposed method is very effective and easy to implement.
引用
收藏
页数：16
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