The high accuracy algorithm for Cauchy singular integral and Cauchy singular integral equation

被引：0

作者：

Zeng, Guang ^{[1
]}

Huang, Jin ^{[1
]}

Jia, Hong-yan ^{[2
]}

机构：

[1] Univ Elect Sci Technol China, Sch Math & Sci, Chengdu, Peoples R China

[2] Anyang Teachers Coll, Sch Math & Stat, Anyang, Peoples R China

来源：

2010 4TH INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICAL ENGINEERING (ICBBE 2010) | 2010年

基金：

美国国家科学基金会;

关键词：

Cauchy singular integral and singular integral equation; quadrature formula; extrapolation formula; Euler-Maclaurin expansion; FORMULAS;

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

This paper presents high accuracy quadrature formulas for Cauchy singular integral, their Euler-Maclaurin expansions and extrapolation formulas. Using these formulas, we give high precision quadrature algorithm of singular integral equations. Numerical results are also provided to support our algorithms and analysis.

引用

页数：4

共 50 条

[21] Numerical solution of various cases of Cauchy type singular integral equation
Setia, Amit
APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 200 - 207
[22] Cauchy singular integral equation method for transient antiplane dynamic problems
Chen, WJ
Tang, RJ
ENGINEERING FRACTURE MECHANICS, 1996, 54 (02) : 177 - 187
[23] A singular integral equation with the Cauchy kernel on a closed interval in a class of distributions
A. V. Setukha
Differential Equations, 2004, 40 : 1279 - 1290
[24] Methods for solving a singular integral equation with Cauchy kernel on the real line
B. G. Gabdulkhaev
I. N. Tikhonov
Differential Equations, 2008, 44 : 980 - 990
[25] Methods for solving a singular integral equation with Cauchy kernel on the real line
Gabdulkhaev, B. G.
Tikhonov, I. N.
DIFFERENTIAL EQUATIONS, 2008, 44 (07) : 980 - 990
[26] A singular integral equation with a Cauchy kernel on the real half-line
Pylak, D
Smarzewski, R
Sheshko, MA
DIFFERENTIAL EQUATIONS, 2005, 41 (12) : 1775 - 1788
[27] SINGULAR INTEGRAL EQUATION WITH A MULTIPLICATIVE CAUCHY KERNEL IN THE HALF-PLANE
Karczmarek, Pawel
OPUSCULA MATHEMATICA, 2008, 28 (01) : 63 - 72
[28] A Singular Integral Equation with a Cauchy Kernel on the Real Half-Line
D. Pylak
R. Smarzewski
M. A. Sheshko
Differential Equations, 2005, 41 : 1775 - 1788
[29] An efficient method for approximate solution of a singular integral equation with Cauchy kernel
Yang, Lihong
Chen, Zhong
Xie, Kechao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 352 : 50 - 61
[30] A singular integral equation with the Cauchy kernel on a closed interval in a class of distributions
Setukha, AV
DIFFERENTIAL EQUATIONS, 2004, 40 (09) : 1279 - 1290

← 1 2 3 4 5 →