On the numerical treatment of the singular integral equation of the second kind

被引：24

作者：

Abdou, MA ^{[1
]}

Nasr, AA

机构：

[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt

[2] Al Azhar Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 146卷 / 2-3期

关键词：

singular integral equation; Cauchy kernel; Legendre polynomial; a system of linear algebraic equation;

D O I：

10.1016/S0096-3003(02)00587-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, a numerical treatment for solving the integral equation of the second kind with Cauchy kernel is presented. The singular term has been removed and the solution in the Legendre polynomial form has been used to obtain a system of linear algebraic equation. This system is solved numerically. (C) 2002 Published by Elsevier Inc.

引用

页码：373 / 380

页数：8

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