A collocation method for a class of nonlinear singular integral equations with a Carleman shift

被引：0

作者：

Allan, Mohamed M. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

来源：

Mathematical and Computational Applications | 2012年 / 17卷 / 02期

关键词：

Carleman shift - Collocation method - Generalized holder - Jordan curves - Noether operator - Singular integral equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper is concerned with the applicability of the collocation method to a class of nonlinear singular integral equations with a Carleman shift preserving orientation on simple closed smooth Jordan curve in the generalized Holder space Hφ(L).

引用

页码：121 / 131

共 50 条

[1] On the solution of a certain class of nonlinear singular integrodifferential equations with Carleman shift
Amer, SM
Nagdy, AS
CHAOS SOLITONS & FRACTALS, 2001, 12 (08) : 1473 - 1484
[2] A collocation method for nonlinear Cauchy singular integral equations
Junghanns, P
Müller, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 115 (1-2) : 283 - 300
[3] On a class of singular integral equations with the linear fractional Carleman shift and the degenerate kernel
Le Huy Chuan
Nguyen Van Mau
Nguyen Minh Tuan
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (02) : 117 - 137
[4] The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel
Sonia Seyed Allaei
Teresa Diogo
Magda Rebelo
Journal of Scientific Computing, 2016, 69 : 673 - 695
[5] The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel
Allaei, Sonia Seyed
Diogo, Teresa
Rebelo, Magda
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 69 (02) : 673 - 695
[6] Iterative Collocation Method for Solving a class of Nonlinear Weakly Singular Volterra Integral Equations
Kherchouche, Khedidja
Bellour, Azzeddine
Lima, Pedro
DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2021, 14 : 33 - 41
[7] METHOD OF COLLOCATION FOR A CLASS OF NONLINEAR SINGULAR INTEGRODIFFERENTIAL EQUATIONS
MELESHKO, AN
YANOVICH, LA
DIFFERENTIAL EQUATIONS, 1992, 28 (07) : 1009 - 1015
[8] On a class of nonlinear singular integral equations with shift on a closed contour
Amer, SM
Dardery, S
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (03) : 781 - 791
[9] Existence results for a class of nonlinear singular integral equations with shift
Amer, SM
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2005, 120 (03): : 313 - 333
[10] SINGULAR INTEGRAL-EQUATIONS WITH CARLEMAN SHIFT ON CURVES WITH CORNERS
COSTABEL, M
MATHEMATISCHE NACHRICHTEN, 1982, 109 : 29 - 37

← 1 2 3 4 5 →