Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet

被引：7

作者：

Tahami, M. ^{[1
]}

Hemmat, A. Askari ^{[2
,4
]}

Yousefi, S. A. ^{[3
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman, Iran

[3] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran

[4] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2016年 / 14卷 / 01期

关键词：

Fredholm integral equation; Legendre wavelet basis; ill condition system;

D O I：

10.1142/S0219691316500041

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In one-dimensional problems, the Legendre wavelets are good candidates for approximation. In this paper, we present a numerical method for solving two-dimensional first kind Fredholm integral equation. The method is based upon two-dimensional linear Legendre wavelet basis approximation. By applying tensor product of one-dimensional linear Legendre wavelet we construct a two-dimensional wavelet. Finally, we give some numerical examples.

引用

页数：20

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