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Annulus with circular slit map of bounded multiply connected regions via integral equation method

Sangawi, Ali W. K. and Mohamed Murid, Ali Hassan and Nasser, M. M. S. (2012) Annulus with circular slit map of bounded multiply connected regions via integral equation method. Bulletin of the Malaysian Mathematical Sciences Society, 35 (4). pp. 945-959. ISSN 0126-6705

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Official URL: http://www.emis.de/journals/BMMSS/vol35_4_11.html

Abstract

This paper presents a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto an annulus with circular slits. The method is based on some uniquely solvable linear integral equations with classical, adjoint and generalized Neumann kernels. These boundary integral equations are constructed from a boundary relationship that relates the mapping function f on a multiply connected region with f′, θ′, and |f|, where θ is the boundary correspondence function. Some numerical examples are presented to illustrate the efficiency of the presented method.

Item Type:Article
Uncontrolled Keywords:Numerical conformal mapping, boundary integral equations
Subjects:Q Science > QA Mathematics
Divisions:Computer Science and Information System
ID Code:32910
Deposited By: Fazli Masari
Deposited On:31 Jul 2013 00:36
Last Modified:28 Jan 2019 03:50

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