An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel
We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with circular slit of radius m < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali. In thi...
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| Format: | Conference or Workshop Item |
| Language: | en |
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2007
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| Online Access: | http://eprints.utm.my/3832/1/Paper_ICoMS_2007.pdf http://eprints.utm.my/3832/ |
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| author | Murid, Ali H. M. Hu, Laey-Nee Mohamad, Mohd Nor |
| author_facet | Murid, Ali H. M. Hu, Laey-Nee Mohamad, Mohd Nor |
| author_sort | Murid, Ali H. M. |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with circular slit of radius m < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali. In this paper, using the boundary relationship satisfied by the mapping function, a related system of Fredholm integral equation is constructed, provided m is assume known. For numerical experiment, the integral equation is discretized which leads to a system of linear equations. Numerical implementation on a circular annulus is also presented. |
| format | Conference or Workshop Item |
| id | my.utm.eprints-3832 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2007 |
| record_format | eprints |
| spelling | my.utm.eprints-38322017-08-08T08:37:01Z http://eprints.utm.my/3832/ An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel Murid, Ali H. M. Hu, Laey-Nee Mohamad, Mohd Nor QA Mathematics We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with circular slit of radius m < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali. In this paper, using the boundary relationship satisfied by the mapping function, a related system of Fredholm integral equation is constructed, provided m is assume known. For numerical experiment, the integral equation is discretized which leads to a system of linear equations. Numerical implementation on a circular annulus is also presented. 2007 Conference or Workshop Item NonPeerReviewed application/pdf en http://eprints.utm.my/3832/1/Paper_ICoMS_2007.pdf Murid, Ali H. M. and Hu, Laey-Nee and Mohamad, Mohd Nor (2007) An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel. In: ICoMS2007, 28-29 June 2007, IIS, UTM. (Submitted) |
| spellingShingle | QA Mathematics Murid, Ali H. M. Hu, Laey-Nee Mohamad, Mohd Nor An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title | An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title_full | An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title_fullStr | An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title_full_unstemmed | An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title_short | An integral equation method for conformal mapping of doubly connected regions involving the Kerzman-Stein kernel |
| title_sort | integral equation method for conformal mapping of doubly connected regions involving the kerzman-stein kernel |
| topic | QA Mathematics |
| url | http://eprints.utm.my/3832/1/Paper_ICoMS_2007.pdf http://eprints.utm.my/3832/ |
| url_provider | http://eprints.utm.my/ |