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An integral equation for conformal mapping of triply connected regions onto a disk with circular slits

Hu, Laey-Nee and Mohd. Murid, Ali Hassan (2008) An integral equation for conformal mapping of triply connected regions onto a disk with circular slits. In: Advances In Fundamentals And Social Sciences. Penerbit UTM , Johor, pp. 58-68. ISBN 978-983-52-0609-2

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Abstract

This paper presents an integral equation m ethod for com puting the confor mal m apping function of triply connected regions onto a disk of unit radius with two c oncen tric circu lar slits of rad ii μ ) ( z f 1 < 1 and μ 2 < 1. By using the boundary re lationship satisfied by the mapping function, a related system of nonlinear integral equations via Neum ann kernel is constructed involving the unknown μ 1 and μ 2 . Together with som e norm alizing conditions, a unique solution to the system is then com puted using an optim ization method. Num erical implem entation on some test regions will also be presented.

Item Type:Book Section
Subjects:Q Science
Divisions:Science
ID Code:16783
Deposited By: Mrs Liza Porijo
Deposited On:27 Oct 2011 09:54
Last Modified:15 Aug 2017 01:13

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