Murid, Ali Hassan Mohamed and Laey, Nee Hu and Mohd. Nor, Mohamad (2008) An integral equation method for conformal mapping of doubly connected regions involving the neumann kernel. Matematika, 24 (2). pp. 99111. ISSN 01278274

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Abstract
We present an integral equation method for conformal mapping of doubly connected regions onto a unit disc with a circular slit of radius Âµ < 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 Âµ is assumed known. Numerical implementation on a circular annulus is also presented.
Item Type:  Article 

Uncontrolled Keywords:  conformal mapping, integral equations, doubly connected regions, neumann kernel 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  9857 
Deposited By:  Zalinda Shuratman 
Deposited On:  18 May 2010 09:35 
Last Modified:  04 Jun 2014 03:21 
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