Convergence of the collocation methods for singular integro-differential equations in Lebesgue spaces

被引：0

作者：

Caraus, Iurie ^{[1
]}

Mastorakis, Nikos E. ^{[2
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, Celestijnenlaan 200A, B-3001 Heverlee, Belgium

[2] WSEAS, Athens 15773, Greece

来源：

WSEAS: ADVANCES ON APPLIED COMPUTER AND APPLIED COMPUTATIONAL SCIENCE | 2008年

关键词：

singular integro-differential equations; collocation methods; Fejer points; Lebesgue spaces;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article, the numerical schemes of collocation methods for an approximate solution of singular integro- differential equations with kernels of Cauchy type are explained. The equations are defined on arbitrary smooth closed contours. The theoretical background of collocations methods in Lebesgue spaces is obtained.

引用

页码：336 / +

页数：3

共 50 条

[31] The reduction method for approximative solution of systems of Singular Integro-Differential Equations in Lebesgue spaces(case γ ≠ 0)
Al Faqih, Feras M.
Caraus, Iurie
Mastorakis, Nikos E.
WSEAS Transactions on Mathematics, 2014, 13 (01) : 385 - 394
[32] Special versions of the collocation method for integro-differential equations in the singular case
N. S. Gabbasov
Differential Equations, 2017, 53 : 1222 - 1230
[33] Spline collocation method for integro-differential equations with weakly singular kernels
Pedas, Arvet
Tamme, Enn
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 197 (01) : 253 - 269
[34] Special versions of the collocation method for integro-differential equations in the singular case
Gabbasov, N. S.
DIFFERENTIAL EQUATIONS, 2017, 53 (09) : 1222 - 1230
[35] Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels
Brunner, H
Pedas, A
Vainikko, G
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2001, 39 (03) : 957 - 982
[36] Adaptive collocation methods for Volterra integral and integro-differential equations
Jiang, Yingjun
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) : 67 - 78
[37] A family of Multistep Collocation Methods for Volterra Integro-Differential Equations
Cardone, A.
Conte, D.
Paternoster, B.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 358 - 361
[38] On the attainable order of collocation methods for pantograph integro-differential equations
Muroya, Y
Ishiwata, E
Brunner, H
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 152 (1-2) : 347 - 366
[39] CONVERGENCE ANALYSIS OF THE SINC COLLOCATION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS SYSTEM
Zarebnia, Mohammad
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 4 (01): : 29 - 42
[40] The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods
Brunner, H.
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1999, 18 (02): : 393 - 406

← 1 2 3 4 5 →