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. 1218. ISSN 22895981

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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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