Circular Slits Map of Bounded Multiply Connected Regions

Ali W. K. Sangawi, Ali H. M. Murid and M. M. S. Nasser

Abstract and Applied Analysis, 2012, vol. 2012, 1-26

Abstract:

We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region. The method is based on some uniquely solvable boundary integral equations with adjoint classical, adjoint generalized, and modified 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:970928

DOI: 10.1155/2012/970928

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