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Parallel slits map of bounded multiply connected regions

In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a parallel slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized and modified Neuman...

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Main Authors: Sangawi, Ali W. K., Murid, Ali H. M., Nasser, M. M. S.
Format: Article
Published: Elsevier Ltd. 2012
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/47344/
http://dx.doi.org/10.1016/j.jmaa.2012.01.008
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spelling my.utm.473442019-04-25T01:18:33Z http://eprints.utm.my/id/eprint/47344/ Parallel slits map of bounded multiply connected regions Sangawi, Ali W. K. Murid, Ali H. M. Nasser, M. M. S. QA Mathematics In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a parallel slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized and modified Neumann kernels. These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. Some numerical examples are presented to illustrate the efficiency of the presented method. Elsevier Ltd. 2012 Article PeerReviewed Sangawi, Ali W. K. and Murid, Ali H. M. and Nasser, M. M. S. (2012) Parallel slits map of bounded multiply connected regions. Journal Of Mathematical Analysis And Applications, 389 (2). pp. 1280-1290. ISSN 0022-247X http://dx.doi.org/10.1016/j.jmaa.2012.01.008 DOI:10.1016/j.jmaa.2012.01.008
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Sangawi, Ali W. K.
Murid, Ali H. M.
Nasser, M. M. S.
Parallel slits map of bounded multiply connected regions
description In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a parallel slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized and modified Neumann kernels. These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. Some numerical examples are presented to illustrate the efficiency of the presented method.
format Article
author Sangawi, Ali W. K.
Murid, Ali H. M.
Nasser, M. M. S.
author_facet Sangawi, Ali W. K.
Murid, Ali H. M.
Nasser, M. M. S.
author_sort Sangawi, Ali W. K.
title Parallel slits map of bounded multiply connected regions
title_short Parallel slits map of bounded multiply connected regions
title_full Parallel slits map of bounded multiply connected regions
title_fullStr Parallel slits map of bounded multiply connected regions
title_full_unstemmed Parallel slits map of bounded multiply connected regions
title_sort parallel slits map of bounded multiply connected regions
publisher Elsevier Ltd.
publishDate 2012
url http://eprints.utm.my/id/eprint/47344/
http://dx.doi.org/10.1016/j.jmaa.2012.01.008
_version_ 1643652294130008064
score 13.211869

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