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Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
Authors:Ali WK Sangawi  Ali HM Murid  MMS Nasser
Institution:a Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, Malaysia
b Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, Malaysia
c Department of Mathematics, College of Science, University of Sulaimani, 64001 UOS, Sulaimani, Kurdistan Region, Iraq
d Department of Mathematics, Faculty of Science, Ibb University, P.O. Box 70270, Ibb, Yemen
e Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia
Abstract:In this paper we present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region Ω 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.
Keywords:Numerical conformal mapping  Boundary integral equations  Neumann kernel  Generalized Neumann kernel
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