Radial slits maps of unbounded multiply connected regions

This paper presents a boundary integral equation method for conformal mapping of an unbounded multiply connected region onto a radial slits region. Two linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected...

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Main Authors: A.A.M., Yunus,, A.H.M., Murid,, M.M.S., Nasser,
Format: Conference Paper
Language:en_US
Published: 2015
Subjects:
Online Access:http://ddms.usim.edu.my/handle/123456789/9231
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spelling my.usim-92312015-08-26T01:49:10Z Radial slits maps of unbounded multiply connected regions A.A.M., Yunus, A.H.M., Murid, M.M.S., Nasser, Boundary integral equation Generalized Neumann kernel Numerical conformal mapping Unbounded multiply connected region This paper presents a boundary integral equation method for conformal mapping of an unbounded multiply connected region onto a radial slits region. Two linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected region. These integral equations are uniquely solvable. The kernels involved in these integral equations are the adjoint generalized Neumann kernels. Two numerical examples are presented to show the effectiveness of the proposed method. © 2013 AIP Publishing LLC. 2015-08-26T01:49:10Z 2015-08-26T01:49:10Z 2013-01-01 Conference Paper 9780-7354-1150-0 0094-243X http://ddms.usim.edu.my/handle/123456789/9231 en_US
institution Universiti Sains Islam Malaysia
building USIM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universit Sains Islam i Malaysia
content_source USIM Institutional Repository
url_provider http://ddms.usim.edu.my/
language en_US
topic Boundary integral equation
Generalized Neumann kernel
Numerical conformal mapping
Unbounded multiply connected region
spellingShingle Boundary integral equation
Generalized Neumann kernel
Numerical conformal mapping
Unbounded multiply connected region
A.A.M., Yunus,
A.H.M., Murid,
M.M.S., Nasser,
Radial slits maps of unbounded multiply connected regions
description This paper presents a boundary integral equation method for conformal mapping of an unbounded multiply connected region onto a radial slits region. Two linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected region. These integral equations are uniquely solvable. The kernels involved in these integral equations are the adjoint generalized Neumann kernels. Two numerical examples are presented to show the effectiveness of the proposed method. © 2013 AIP Publishing LLC.
format Conference Paper
author A.A.M., Yunus,
A.H.M., Murid,
M.M.S., Nasser,
author_facet A.A.M., Yunus,
A.H.M., Murid,
M.M.S., Nasser,
author_sort A.A.M., Yunus,
title Radial slits maps of unbounded multiply connected regions
title_short Radial slits maps of unbounded multiply connected regions
title_full Radial slits maps of unbounded multiply connected regions
title_fullStr Radial slits maps of unbounded multiply connected regions
title_full_unstemmed Radial slits maps of unbounded multiply connected regions
title_sort radial slits maps of unbounded multiply connected regions
publishDate 2015
url http://ddms.usim.edu.my/handle/123456789/9231
_version_ 1645152568166318080
score 13.222552