A new method for solving Hilbert type singular integral equations

被引：8

作者：

Chen, Zhong ^{[1
]}

Zhou, YongFang ^{[2
,3
]}

机构：

[1] Harbin Inst Tech, Dept Math, Wei Hai 264209, Shan Dong, Peoples R China

[2] Harbin Inst Tech, Dept Math, Harbin 150001, Hei Long Jiang, Peoples R China

[3] Heilongjiang Inst Sci & Tech, Dept Math & Mech, Harbin 150027, Hei Long Jiang, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 02期

关键词：

Hilbert type singular integral equations; Reproducing kernel space; Approximate solution;

D O I：

10.1016/j.amc.2011.05.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple method for solving Hilbert type singular integral equations is proposed. Using the reproducing kernel as the basis of W-2(1)[0,2 pi], the singularity of the considered equation is removed skillfully. Since the problem is discussed in space W-2(1)[0,2 pi], which only require the absolute continuity of the considered function, our method is effective not only for smooth solutions, but also for non-smooth solutions. The final numerical examples show the efficiency of the proposed method. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：406 / 412

页数：7

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