An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel
We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with a circular slit of radius µ < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali [15]...
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Department of Mathematics, Faculty of Science
2008
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| Online Access: | http://eprints.utm.my/9857/1/AliHassanMohamed2008_An_Integral_Equation_Method_for_Conformal.pdf http://eprints.utm.my/9857/3/20082421.pdf http://eprints.utm.my/9857/ |
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| author | Murid, Ali Hassan Mohamed Laey, Nee Hu Mohd. Nor, Mohamad |
| author_facet | Murid, Ali Hassan Mohamed Laey, Nee Hu Mohd. Nor, Mohamad |
| author_sort | Murid, Ali Hassan Mohamed |
| 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 a circular slit of radius µ < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali [15]. In this paper, using the boundary relationship satisfied by the mapping function, a related system of integral equations via Neumann kernel is constructed. For numerical experiment, the integral equation is discretized which leads to a system of linear equations, where µ is assumed known. Numerical implementation on a circular annulus is also presented. |
| format | Article |
| id | my.utm.eprints-9857 |
| institution | Universiti Teknologi Malaysia |
| language | en en |
| publishDate | 2008 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | eprints |
| spelling | my.utm.eprints-98572014-06-04T03:21:31Z http://eprints.utm.my/9857/ An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel Murid, Ali Hassan Mohamed Laey, Nee Hu Mohd. Nor, Mohamad QA Mathematics We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with a circular slit of radius µ < 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali [15]. In this paper, using the boundary relationship satisfied by the mapping function, a related system of integral equations via Neumann kernel is constructed. For numerical experiment, the integral equation is discretized which leads to a system of linear equations, where µ is assumed known. Numerical implementation on a circular annulus is also presented. Department of Mathematics, Faculty of Science 2008-12 Article PeerReviewed application/pdf en http://eprints.utm.my/9857/1/AliHassanMohamed2008_An_Integral_Equation_Method_for_Conformal.pdf text/html en http://eprints.utm.my/9857/3/20082421.pdf Murid, Ali Hassan Mohamed and Laey, Nee Hu and Mohd. Nor, Mohamad (2008) An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel. Matematika, 24 (2). pp. 99-111. ISSN 0127-8274 |
| spellingShingle | QA Mathematics Murid, Ali Hassan Mohamed Laey, Nee Hu Mohd. Nor, Mohamad An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title | An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title_full | An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title_fullStr | An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title_full_unstemmed | An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title_short | An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| title_sort | integral equation method for conformal mapping of doubly connected regions involving the neumann kernel |
| topic | QA Mathematics |
| url | http://eprints.utm.my/9857/1/AliHassanMohamed2008_An_Integral_Equation_Method_for_Conformal.pdf http://eprints.utm.my/9857/3/20082421.pdf http://eprints.utm.my/9857/ |
| url_provider | http://eprints.utm.my/ |