Title of article
An Integral Equation Method for Conformal Mapping of Doubly Connected Regions Involving the Neumann Kernel
Author/Authors
Murid, Ali Hassan Mohamed Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Hu, Laey-Nee Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Mohamad, Mohd Nor Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia
From page
99
To page
111
Abstract
We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with a circular slit of radius μ 1. Our theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region derived by Murid and Razali [15]. In this paper, using the boundary relationship satisfied by the mapping function, a related system of integral equations via Neumann kernel is constructed. For numerical experiment, the integral equation is discretized which leads to a system of linear equations, where μ is assumed known. Numerical implementation on a circular annulus is also presented.
Keywords
Conformal mapping , integral equations , doubly connected regions , Neumann kernel
Journal title
Matematika
Journal title
Matematika
Record number
2569842
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