Solution of an integral equation with a logarithmic kernel

A simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips. The technique is further illustrated by an exam...

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Main Authors: C. Sampath, D. J. Jain
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290001053
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author C. Sampath
D. J. Jain
author_facet C. Sampath
D. J. Jain
author_sort C. Sampath
collection DOAJ
description A simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips. The technique is further illustrated by an example.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-a9fa430c3a1646dcaee04e4cabfd5e582025-02-03T01:03:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113476376810.1155/S0161171290001053Solution of an integral equation with a logarithmic kernelC. Sampath0D. J. Jain1Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, IndiaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, IndiaA simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips. The technique is further illustrated by an example.http://dx.doi.org/10.1155/S0161171290001053coplanar and parallel infinite stripslogarithmic kernelelliptic integrals of the firstthe second and third kinds.
spellingShingle C. Sampath
D. J. Jain
Solution of an integral equation with a logarithmic kernel
International Journal of Mathematics and Mathematical Sciences
coplanar and parallel infinite strips
logarithmic kernel
elliptic integrals of the first
the second and third kinds.
title Solution of an integral equation with a logarithmic kernel
title_full Solution of an integral equation with a logarithmic kernel
title_fullStr Solution of an integral equation with a logarithmic kernel
title_full_unstemmed Solution of an integral equation with a logarithmic kernel
title_short Solution of an integral equation with a logarithmic kernel
title_sort solution of an integral equation with a logarithmic kernel
topic coplanar and parallel infinite strips
logarithmic kernel
elliptic integrals of the first
the second and third kinds.
url http://dx.doi.org/10.1155/S0161171290001053
work_keys_str_mv AT csampath solutionofanintegralequationwithalogarithmickernel
AT djjain solutionofanintegralequationwithalogarithmickernel