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.
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页数：20
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