Legendre Wavelet Method for Numerical Solutions of Partial Differential Equations

被引：84

作者：

Liu, Nanshan ^{[2
]}

Lin, En-Bing ^{[1
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

[2] Univ Toledo, Dept Math, Toledo, OH 43606 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 01期

关键词：

Legendre polynomial; associated expansions; orthogonal basis; error estimate of numerical solutions;

D O I：

10.1002/num.20417

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce all orthogonal basis oil the square [-1, 1] x [-1, 1] generated by Legendre polynomials oil [-1, 1], and define an associated expression for the expansion of a Riemann integrable function. We describe some properties and derive a uniform convergence theorern. We then present several numerical experiments that indicate that our methods are more efficient and have better convergence results than some other methods. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 81-94, 2010

引用

页码：81 / 94

页数：14