Circular Slits Map of Bounded Multiply Connected Regions
We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized, and modified Neumann kernels. Th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/970928 |
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| _version_ | 1832567673352880128 |
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| author | Ali W. K. Sangawi Ali H. M. Murid M. M. S. Nasser |
| author_facet | Ali W. K. Sangawi Ali H. M. Murid M. M. S. Nasser |
| author_sort | Ali W. K. Sangawi |
| collection | DOAJ |
| description | We present a boundary integral equation method for
the numerical conformal mapping of bounded multiply connected region
onto a circular 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 |
| id | doaj-art-aa06384a634d4be7b5ef19e5a8068b16 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-aa06384a634d4be7b5ef19e5a8068b162025-02-03T01:00:54ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/970928970928Circular Slits Map of Bounded Multiply Connected RegionsAli W. K. Sangawi0Ali H. M. Murid1M. M. S. Nasser2Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, Johor, 81310 Johor Bahru, MalaysiaIbnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, Johor, 81310 Johor Bahru, MalaysiaDepartment of Mathematics, Faculty of Science, Ibb University, P.O. Box 70270, Ibb, YemenWe present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular 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.http://dx.doi.org/10.1155/2012/970928 |
| spellingShingle | Ali W. K. Sangawi Ali H. M. Murid M. M. S. Nasser Circular Slits Map of Bounded Multiply Connected Regions Abstract and Applied Analysis |
| title | Circular Slits Map of Bounded Multiply Connected Regions |
| title_full | Circular Slits Map of Bounded Multiply Connected Regions |
| title_fullStr | Circular Slits Map of Bounded Multiply Connected Regions |
| title_full_unstemmed | Circular Slits Map of Bounded Multiply Connected Regions |
| title_short | Circular Slits Map of Bounded Multiply Connected Regions |
| title_sort | circular slits map of bounded multiply connected regions |
| url | http://dx.doi.org/10.1155/2012/970928 |
| work_keys_str_mv | AT aliwksangawi circularslitsmapofboundedmultiplyconnectedregions AT alihmmurid circularslitsmapofboundedmultiplyconnectedregions AT mmsnasser circularslitsmapofboundedmultiplyconnectedregions |