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