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. 99-111. ISSN 0127-8274
Official URL: http://www.fs.utm.my/matematika/content/view/169/3...
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 . 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.
|Uncontrolled Keywords:||conformal mapping, integral equations, doubly connected regions, neumann kernel|
|Subjects:||Q Science > QA Mathematics|
|Deposited By:||Ms Zalinda Shuratman|
|Deposited On:||18 May 2010 09:35|
|Last Modified:||02 Jun 2010 02:04|
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