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Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit

This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for conformal mapping of unbounded multiply connected regions. The canonical region is the entire complex plane bounded by an infinite straight slit on the line Im ω = 0 and finite logarithmic spiral...

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Main Authors: Mohamed Murid, Ali Hassan, A.M. Yunus, Arif
Format: Conference or Workshop Item
Published: USIM 2016
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/66893/
http://dx.doi.org/10.1063/1.4980981
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spelling my.utm.668932017-07-26T04:25:23Z http://eprints.utm.my/id/eprint/66893/ Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit Mohamed Murid, Ali Hassan A.M. Yunus, Arif Q Science This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for conformal mapping of unbounded multiply connected regions. The canonical region is the entire complex plane bounded by an infinite straight slit on the line Im ω = 0 and finite logarithmic spiral slits. Some linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on a multiply connected region. These integral equations are uniquely solvable. The kernel involved in these integral equations is the adjoint generalized Neumann kernel. USIM 2016-01-11 Conference or Workshop Item PeerReviewed Mohamed Murid, Ali Hassan and A.M. Yunus, Arif (2016) Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit. In: The 4th International Conference of Mathematical Sciences : Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, 15-17 Nov, 2016, Putrajaya, Malaysia. http://dx.doi.org/10.1063/1.4980981
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Mohamed Murid, Ali Hassan
A.M. Yunus, Arif
Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
description This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for conformal mapping of unbounded multiply connected regions. The canonical region is the entire complex plane bounded by an infinite straight slit on the line Im ω = 0 and finite logarithmic spiral slits. Some linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on a multiply connected region. These integral equations are uniquely solvable. The kernel involved in these integral equations is the adjoint generalized Neumann kernel.
format Conference or Workshop Item
author Mohamed Murid, Ali Hassan
A.M. Yunus, Arif
author_facet Mohamed Murid, Ali Hassan
A.M. Yunus, Arif
author_sort Mohamed Murid, Ali Hassan
title Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
title_short Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
title_full Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
title_fullStr Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
title_full_unstemmed Conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
title_sort conformal mapping of unbounded multiply connected regions onto logarithmic spiral slit with infinite straight slit
publisher USIM
publishDate 2016
url http://eprints.utm.my/id/eprint/66893/
http://dx.doi.org/10.1063/1.4980981
_version_ 1643655856073474048
score 13.160551

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