A modified Nystrom-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels

被引：1

作者：

Chen, Qiong-Sheng ^{[1
]}

Lin, Fu-Rong ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2014年 / 85卷

关键词：

Fredholm integral equation of second kind; Piecewise smooth kernel; Modified Nystrom-Clenshaw-Curtis; Quadrature; Extension of kernel function; WIENER-HOPF EQUATIONS; HALF-LINE; 2ND KIND; RULES;

D O I：

10.1016/j.apnum.2014.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Nystrom-Clenshaw-Curtis (NCC) quadrature is a highly accurate quadrature which is suitable for integral equations with semi-smooth kernels. In this paper, we first introduce the NCC quadrature and point out that the NCC quadrature is not suitable for certain integral equation with well-behaved kernel functions such as e(-|t-s|). We then modify the NCC quadrature to obtain a new quadrature which is suitable for integral equations with piecewise smooth kernel functions. Applications of the modified NCC quadrature to Wiener-Hopf equations and a nonlinear integral equation are presented. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：77 / 89

页数：13

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