Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Justification of a Galerkin method for a regularized Cauchy singular integro-differential equation

Author: A. I. Fedotov
Journal: Quart. Appl. Math. 67 (2009), 541-552
MSC (2000): Primary 45L05; Secondary 45E05, 65R20
DOI: https://doi.org/10.1090/S0033-569X-09-01138-3
Published electronically: May 12, 2009
MathSciNet review: 2547638
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Abstract: For one class of the singular integro-differential equations with Cauchy kernel on an interval, a Galerkin method is justified. The convergence is proved and the error estimation is given.

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Additional Information

A. I. Fedotov
Affiliation: Kazan State University, Research Institute of Mathematics and Mechanics, Kazan, 420008 Russia
Email: fedotov@mi.ru

DOI: https://doi.org/10.1090/S0033-569X-09-01138-3
Keywords: Singular integro-differential equations, Galerkin method
Received by editor(s): February 23, 2008
Published electronically: May 12, 2009
Dedicated: This paper is dedicated to Vladimir Baicher and Joellen Jarvi.
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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