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
|
PDF
404kB |
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 |
Repository Staff Only: item control page