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Parallel slits map of bounded multiply connected regions

Sangawi, Ali W. K. and Murid, Ali H. M. and Nasser, M. M. S. (2012) Parallel slits map of bounded multiply connected regions. Journal Of Mathematical Analysis And Applications, 389 (2). pp. 1280-1290. ISSN 0022-247X

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Official URL: http://dx.doi.org/10.1016/j.jmaa.2012.01.008

Abstract

In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a parallel slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized and modified Neumann kernels. These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. Some numerical examples are presented to illustrate the efficiency of the presented method.

Item Type:Article
Uncontrolled Keywords:Neumann kernel, Generalized Neumann kernel, parallel slits map
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:47344
Deposited By: Narimah Nawil
Deposited On:22 Jun 2015 05:56
Last Modified:25 Apr 2019 01:18

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