Conformal Mapping of Unbounded Multiply Connected Regions onto Canonical Slit Regions-Reference-Cited by-同舟云学术

Conformal Mapping of Unbounded Multiply Connected Regions onto Canonical Slit Regions

Published:2012 Issue: Volume:2012 Page:1-29
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yunus Arif A. M.¹²³,Murid Ali H. M.¹²,Nasser Mohamed M. S.⁴⁵

Affiliation:

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

2. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, Johor, 81310 Johor Bahru, Malaysia

3. Faculty of Science and Technology, Universiti Sains Islam Malaysia, Negeri Sembilan 71800, Bandar Baru Nilai, Malaysia

4. Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia

5. Department of Mathematics, Faculty of Science, Ibb University, P. O. Box 70270, Ibb, Yemen

Abstract

We present a boundary integral equation method for conformal mapping of unbounded multiply connected regions onto five types of canonical slit regions. For each canonical region, three linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected region. The integral equations are uniquely solvable. The kernels involved in these integral equations are the modified Neumann kernels and the adjoint generalized Neumann kernels.

Funder

Malaysian Ministry of Higher Education

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/293765.pdf

Reference19 articles.

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2. Pure and Applied Mathematics,1986

3. A Charge Simulation Method for Numerical Conformal Mapping onto Circular and Radial Slit Domains

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