APPLICATION OF CHEBYSHEV AND TRIGONOMETRIC POLYNOMIALS TO THE APPROXIMATION OF A SOLUTION OF A SINGULAR INTEGRAL EQUATION WITH A MULTIPLICATIVE CAUCHY KERNEL IN THE HALF-PLANE

被引：0

作者：

Karczmarek, Pawel ^{[1
]}

机构：

[1] John Paul II Catholic Univ Lublin, Inst Math & Comp Sci, Al Raclawickie 14, PL-20950 Lublin, Poland

来源：

OPUSCULA MATHEMATICA | 2008年 / 28卷 / 02期

关键词：

singular integral equation; Cauchy kernel; multiplicative kernel; approximate solution; Chebyshev polynomials; trigonometric polynomials;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.

引用

页码：129 / 136

页数：8

共 34 条

[1] SINGULAR INTEGRAL EQUATION WITH A MULTIPLICATIVE CAUCHY KERNEL IN THE HALF-PLANE
Karczmarek, Pawel
OPUSCULA MATHEMATICA, 2008, 28 (01) : 63 - 72
[2] Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
Karczmarek, Pawel
Pylak, Dorota
Sheshko, Michail A.
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) : 694 - 707
[3] Application of Chebyshev Polynomials to the Approximate Solution of Singular Integral Equations of the First Kind with Cauchy Kernel on the Real Half-line
Shali, J. Ahmadi
Akbarfam, A. Jodayree
Kashfi, M.
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2013, 4 (01): : 21 - 28
[4] Approximate Solution of a Singular Integral Equation with a Cauchy Kernel on the Euclidean Plane
Pylak, Dorota
Karczmarek, Pawet
Wojcik, Pawet
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2018, 18 (04) : 741 - 752
[5] NUMERICAL SOLUTION OF A SINGULAR INTEGRAL EQUATION WITH CAUCHY KERNEL IN THE PLANE CONTACT PROBLEM
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QUARTERLY OF APPLIED MATHEMATICS, 2011, 69 (01) : 79 - 89
[6] Application of Faber Polynomials to the Approximate Solution of Singular Integral Equations with the Cauchy Kernel
Wojcik, P.
Sheshko, M. A.
Sheshko, S. M.
DIFFERENTIAL EQUATIONS, 2013, 49 (02) : 198 - 209
[7] Application of Faber polynomials to the approximate solution of singular integral equations with the Cauchy kernel
P. Wójcik
M. A. Sheshko
S. M. Sheshko
Differential Equations, 2013, 49 : 198 - 209
[8] 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
[9] 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
[10] 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

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