Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations

被引：145

作者：

Yousefi, S

Razzaghi, M ^{[2
]}

机构：

[1] Mazandaran Univ, Dept Math, Babol Sar, Iran

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[3] Amirkabir Univ Technol, Dept Appl Math, Tehran, Iran

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2005年 / 70卷 / 01期

关键词：

Legendre; wavelets; nonlinear; Volterra-Fredholm; integral equations;

D O I：

10.1016/j.matcom.2005.02.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical method for solving the nonlinear Volterra-Fredholm integral equations is presented. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelet are first presented. These properties together with the Gaussian integration method are then utilized to reduce the Volterra-Fredholm integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.

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页数：8

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