Solving singular integral equations by using orthogonal polynomials

被引：0
|
作者：
Ahdiaghdam, Samad [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Marand Branch, Marand, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2018年 / 6卷 / 04期
关键词：
Singular integral equations; Chebyshev systems; Approximate quadratures;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solution of singular integral equations. The efficiency of the method is illustrated through some examples.
引用
收藏
页码：411 / 425
页数：15
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