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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Format: | Article |
Language: | English |
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Wiley
1990-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |
id | doaj-art-a9fa430c3a1646dcaee04e4cabfd5e58 |
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 |