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

Mohamed Murid, Ali Hassan and Kareem Sangawi, Ali W. and Nasser, M. M. S. (2011) Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits. Journal of Fundamental Sciences, 7 (1). pp. 12-18. ISSN 2289-5981

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Official URL: https://dx.doi.org/10.11113/mjfas.v7n1.203

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 f.

Item Type:Article
Uncontrolled Keywords:conformal mapping, boundary integral equations, multiply connected regions, boundary relationship, differential equations
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:39926
Deposited By: Fazli Masari
Deposited On:21 Jul 2014 05:20
Last Modified:17 Mar 2019 04:22

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