A collocation method for solving singular integro-differential equations

被引：3

作者：

Nagamine, Andre ^{[1
]}

Alberto Cuminato, Jose ^{[2
]}

机构：

[1] Univ Estadual Santa Cruz, Ilheus, BA, Brazil

[2] Univ Sao Paulo, ICMC, Sao Carlos, SP, Brazil

来源：

BIT NUMERICAL MATHEMATICS | 2010年 / 50卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Integro-differential equation; Collocation method; Cauchy singular integral-equation; UNIFORM-CONVERGENCE; INTEGRAL-EQUATIONS; FAST ALGORITHM;

D O I：

10.1007/s10543-010-0268-2

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into an integral equation, and then applying a collocation method to solve the latter. The collocation points are chosen as the Chebyshev nodes. Uniform convergence of the resulting method is then discussed. Numerical examples are presented and solved by the numerical techniques.

引用

页码：657 / 688

页数：32

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