Approximate Solution of Singular Integral Equations

Chakrabarti, A and Berghe, Vanden G (2004) Approximate Solution of Singular Integral Equations. In: Applied Mathematics Letters, 17 (5). pp. 553-559.

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Abstract

An approximate method is developed for solving singular integral equations of the first kind, over a finite interval. The singularity is assumed to be of the Cauchy type, and the four basically different cases of singular integral equations of practical occurrence are dealt with simultaneously. The presently obtained results are found to be in complete agreement with the known analytical solutions of simple equations. The methodology of the present work is expected to be useful for solving singular integral equations of the first kind, involving partly singular and partly regular kernels, as well as equations of the second kind involving similar kernels, with appropriate adjustments regarding the endpoint behaviours of the unknown function.

Item Type:	Journal Article
Publication:	Applied Mathematics Letters
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Keywords:	Integral equations;Cauchy type;Singular kernels
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	18 Sep 2006
Last Modified:	19 Sep 2010 04:31
URI:	http://eprints.iisc.ac.in/id/eprint/8694

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