An integral equation for conformal mapping of triply connected regions onto a disk with circular slits
This paper presents an integral equation m ethod for com puting the confor mal m apping function of triply connected regions onto a disk of unit radius with two c oncen tric circu lar slits of rad ii μ ) ( z f 1 < 1 and μ 2 < 1. By using the boundary re...
| Main Authors: | , |
|---|---|
| Format: | Book Section |
| Language: | English |
| Published: |
Penerbit UTM
2008
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| Subjects: | |
| Online Access: | http://eprints.utm.my/16783/1/Laey-NeeHu2008_AnIntegralEquationforConformalMappingofTriply.pdf |
| _version_ | 1796855600924065792 |
|---|---|
| author | Hu, Laey-Nee Mohd. Murid, Ali Hassan |
| author_facet | Hu, Laey-Nee Mohd. Murid, Ali Hassan |
| author_sort | Hu, Laey-Nee |
| collection | ePrints |
| description | This paper presents an integral equation m
ethod for com
puting the
confor
mal m
apping function
of triply connected regions onto
a disk of unit radius with two c
oncen
tric circu
lar slits of rad
ii
μ
)
(
z
f
1
<
1 and
μ
2
< 1. By using the boundary re
lationship satisfied by the
mapping function, a related system
of nonlinear integral equations
via Neum
ann kernel is constructed involving the unknown
μ
1
and
μ
2
. Together with som
e norm
alizing conditions, a unique solution
to the system is then com
puted
using an optim
ization method.
Num
erical implem
entation on some
test regions will also be
presented. |
| first_indexed | 2024-03-05T18:30:56Z |
| format | Book Section |
| id | utm.eprints-16783 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:30:56Z |
| publishDate | 2008 |
| publisher | Penerbit UTM |
| record_format | dspace |
| spelling | utm.eprints-167832017-08-15T01:13:27Z http://eprints.utm.my/16783/ An integral equation for conformal mapping of triply connected regions onto a disk with circular slits Hu, Laey-Nee Mohd. Murid, Ali Hassan Q Science This paper presents an integral equation m ethod for com puting the confor mal m apping function of triply connected regions onto a disk of unit radius with two c oncen tric circu lar slits of rad ii μ ) ( z f 1 < 1 and μ 2 < 1. By using the boundary re lationship satisfied by the mapping function, a related system of nonlinear integral equations via Neum ann kernel is constructed involving the unknown μ 1 and μ 2 . Together with som e norm alizing conditions, a unique solution to the system is then com puted using an optim ization method. Num erical implem entation on some test regions will also be presented. Penerbit UTM 2008 Book Section PeerReviewed application/pdf en http://eprints.utm.my/16783/1/Laey-NeeHu2008_AnIntegralEquationforConformalMappingofTriply.pdf Hu, Laey-Nee and Mohd. Murid, Ali Hassan (2008) An integral equation for conformal mapping of triply connected regions onto a disk with circular slits. In: Advances In Fundamentals And Social Sciences. Penerbit UTM , Johor, pp. 58-68. ISBN 978-983-52-0609-2 |
| spellingShingle | Q Science Hu, Laey-Nee Mohd. Murid, Ali Hassan An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title | An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title_full | An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title_fullStr | An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title_full_unstemmed | An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title_short | An integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| title_sort | integral equation for conformal mapping of triply connected regions onto a disk with circular slits |
| topic | Q Science |
| url | http://eprints.utm.my/16783/1/Laey-NeeHu2008_AnIntegralEquationforConformalMappingofTriply.pdf |
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