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Zbl 1238.30007
Sangawi, Ali W.K.; Murid, Ali H.M.; Nasser, M.M.S.
Parallel slits map of bounded multiply connected regions. (English)
[J] J. Math. Anal. Appl. 389, No. 2, 1280-1290 (2012). ISSN 0022-247X

Summary: In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a parallel 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.

MSC 2000:: *30C30 Numerical methods in conformal mapping theory
45E05 Integral equations with kernels of Cauchy type

Keywords: numerical conformal mapping; parallel slit region; multiply-connected region; boundary integral equations

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Zentralblatt MATH Berlin [Germany]