Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound

被引：28

作者：

Maleknejad, K. ^{[1
]}

Aghazadeh, N. ^{[1
]}

Mollapourasl, R. ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 16846, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期

关键词：

Fredholm integral equation; integral equation of the first kind; wavelet basis; collocation method; Holder space; CG method;

D O I：

10.1016/j.amc.2005.11.159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fredholm integral equation of the first kind is one of the inverse problems that arise in many engineering fields such as image processing and electromagnetic. Most inverse problems are ill-posed, so that solving discretized system of such problems with large condition number has a lot of difficulties. In this paper with using wavelet basis and collocation method the integral equation reduce to a linear system of equation. Then for solving the system we use the CG method. Furthermore, we get an estimation of error bound for this method. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：352 / 359

页数：8

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