Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces
Year: 2012
Author: Iurie Caraus, Zhilin Li
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 737–750
Abstract
New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integro-differential equations that are defined on arbitrary smooth closed contours of the complex plane. We carry out the convergence analysis in classical Hölder spaces. A numerical example is also presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-12S04
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 737–750
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Collocation method classical Hölder space system of singular integro-differential equation Fejér points.