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On integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits

Mohamed Murid, Ali Hassan and Nasser, M. M. S. and Kareem Sangawi, Ali W. (2010) On integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits. In: Regional Annual Fundamental Science Symposium 2010 (RAFSS 2010), 8-9 June 2010, Grand Seasons Hotel, Kuala Lumpur.

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Abstract

Conformal mapping is a useful tool in science and engineering. On the other hand exact mapping functions are unknown except for some special regions. In this paper we present a new boundary integral equation with classical Neumann kernel associated to f f , where f is a conformal mapping of bounded multiply connected regions onto a disk with circular slit domain. This boundary integral equation is constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. With f f known, one can then treat it as a differential equation for computing

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Conformal mapping; Boundary integral equations; Multiply connected regions; Boundary relationship; Differential equations;
Subjects:Q Science
Divisions:Science
ID Code:24136
Deposited By: Mrs Liza Porijo
Deposited On:25 Jun 2012 00:35
Last Modified:31 Jul 2017 08:45

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