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Straight slits map and its inverse of bounded multiply connected regions

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Abstract

This paper presents a boundary integral equation method for computing numerical conformal mapping of bounded multiply connected region onto a straight slits region. The method is an extension of the author’s method for computing the parallel slits map of bounded multiply connected regions (Sangawi et al., J. Math. Anal. Appl. 389, 1280–1290 (2012)). Several numerical examples are given to prove the effectiveness of the proposed methods.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Faculty of Science and Science Education, Universiti of Sulaimani, 46001, Sulaimani, Kurdistan, Iraq

    Ali W. K. Sangawi

  2. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, Malaysia

    Ali W. K. Sangawi

  3. UTM Centre for Industrial and Applied Mathematics, 81310 UTM, Johor Bahru, Johor, Malaysia

    Ali W. K. Sangawi

  4. Algebra and Computational Analysis Group (ACAG), Department of Mathematics, School of Science, Faculty of Science and Science Education, Universiti of Sulaimani, 46001, Sulaimani, Kurdistan, Iraq

    Ali W. K. Sangawi

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  1. Ali W. K. Sangawi
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Correspondence to Ali W. K. Sangawi.

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Communicated by: Helmut Pottmann

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Sangawi, A.W.K. Straight slits map and its inverse of bounded multiply connected regions. Adv Comput Math 41, 439–455 (2015). https://doi.org/10.1007/s10444-014-9368-x

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  • DOI: https://doi.org/10.1007/s10444-014-9368-x

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