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Parallel slits map of bounded multiply connected regions |
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| Authors: | Ali WK Sangawi Ali HM Murid MMS Nasser |
| Institution: | 1. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia;2. Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia;3. Department of Mathematics, College of Science, University of Sulaimani, 46001 UOS, Sulaimani, Kurdistan, Iraq;4. Department of Mathematics, Faculty of Science, Ibb University, P.O. Box 70270, Ibb, Yemen;5. 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 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. |
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