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: | , |
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| 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 |
| Summary: | 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. |
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