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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| 主要な著者: | , , |
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| フォーマット: | 論文 |
| 言語: | English English |
| 出版事項: |
Department of Mathematics, Faculty of Science
2008
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| 主題: | |
| オンライン･アクセス: | http://eprints.utm.my/id/eprint/9857/1/AliHassanMohamed2008_An_Integral_Equation_Method_for_Conformal.pdf http://eprints.utm.my/id/eprint/9857/3/20082421.pdf http://eprints.utm.my/id/eprint/9857/ |
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| 要約: | 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. |
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