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Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

Published online by Cambridge University Press:  03 June 2015

Iurie Caraus  and
Zhilin Li
Iurie Caraus*
Affiliation:
Department of Mathematics and Informatics, Moldova State University, Chisinau, Moldova
Zhilin Li*
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA; and School of Mathematics Sciences, Nanjing Normal University, Nanjing 210046, Jiangsu, China
*
Corresponding author. URL: http://www4.ncsu.edu/~zhilin/, Email: caraush@usm.md
Email: zhilin@ncsu.edu
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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.

Keywords

45E0565L6041A20Collocation methodclassical Hölder spacesystem of singular integro-differential equationFejér points
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 6 , December 2012 , pp. 737 - 750
Copyright
Copyright © Global-Science Press 2012

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