%0 Journal Article
%T An Integral Equation Method for Conformal Mapping of Doubly Connected Regions Involving the Neumann Kernel
%A Ali Hassan Mohamed Murid
%A Laey-Nee Hu
%A Mohd Nor Mohamad
%J Matematika
%D 2008
%I Universiti Teknologi Malaysia
%X We present an integral equation method for conformal mapping of doublyconnected regions onto a unit disc with a circular slit of radius ¦Ì < 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 ¦Ì is assumed known. Numerical implementation on a circular annulus is also presented.
%K Conformal mapping
%K integral equations
%K doubly connected regions
%K Neumann kernel.
%U http://www.fs.utm.my/matematika/images/stories/matematika/20082421.pdf