A note on solving integro-differential equation with Cauchy kernel

被引：6
作者：
Mennouni, Abdelaziz [1 ]
Guedjiba, Said [2 ]
机构：
[1] Univ Bordj Bou Arreridj, Dept Math, Bordj Bou Arreridj 34000, Algeria
[2] Univ Batna, Dept Math, Batna, Algeria
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 9-10期
关键词：
Airfoil polynomials; Cauchy kernel; Integro-differential equations; Projection approximations; Holder spaces; SINGULAR INTEGRAL-EQUATIONS; NUMERICAL-SOLUTION; APPROXIMATE SOLUTION; COLLOCATION METHOD; 2ND KIND; CONVERGENCE;
D O I：
10.1016/j.mcm.2010.06.028
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper investigates the numerical solution for a class of integro-differential equations with Cauchy kernel by using airfoil polynomials of the first kind. According to this method, we obtain a system of linear algebraic equations. We give some sufficient conditions for the convergence of this method. Finally, we investigate the computational performance of our approach through some numerical examples. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1634 / 1638
页数：5
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