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.
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页码：77 / 89
页数：13
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