Circular slits map of bounded multiply connected regions

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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. © 2012 Ali W. K. Sangawi et al.

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Sangawi, A. W. K., Murid, A. H. M., & Nasser, M. M. S. (2012). Circular slits map of bounded multiply connected regions. Abstract and Applied Analysis, 2012. https://doi.org/10.1155/2012/970928

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