Fredholm-Volterra integral equation with singular kernel

被引：0
|
作者：
M. A. Darwish
机构：
[1] Universität Kiel,Mohamed Abdalla Darwish Mathematisches Seminar II
[2] Alexandria University,Department of Mathematics Faculty of Education Damanhour branch
来源：
Korean Journal of Computational and Applied Mathematics | 1999年 / 6卷 / 1期
关键词：
45B05; 45D05; Fredholm-Volterra integral equation; singular integral operator; Toeplitz matrices;
D O I：
10.1007/BF02941914
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to obtain the solution of Fredholm-Volterra integral equation with singular kernel in the space L2(−1, 1) × C(0,T), 0 ≤t ≤T < ∞, under certain conditions. The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrices. Also, the error estimate is computed and some numerical examples are computed using the MathCad package.
引用
收藏
页码：163 / 174
页数：11
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