Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits

In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region O onto a disk with circular slits. The method is based on some uniquely solvable boundary integral equations with classical adjoint and generalized Neumann kernels. T...

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Bibliographic Details
Main Authors: Sangawi, A. W. K., Mohamed Murid, Ali Hassan, Nasser, Mohamed M. S.
Format: Article
Published: Elsevier Inc. 2011
Subjects:
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Summary:In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region O onto a disk with circular slits. The method is based on some uniquely solvable boundary integral equations with classical adjoint and generalized Neumann kernels. These boundary integral equations are constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. Some numerical examples are presented to illustrate the efficiency of the presented method.