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Zbl 1178.30004
Murid, Ali H.M.; Hu, Laey-Nee
Numerical experiment on conformal mapping of doubly connected regions onto a disk with a slit.
(English)
[J] Int. J. Pure Appl. Math. 51, No. 4, 589-608 (2009). ISSN 1311-8080

The authors present a method for computing conformal mappings of ring-domains bounded by regular Jordan curves onto a disk $|w|< r$ with a concentric circular slit $|w|=\mu r$, $0<\mu< 1$. Starting from an integral boundary equation with the Neumann kernel they derive a system of integral equations. Then the system is solved numerically by the method of Nyström with the trapez rule. They provide five examples in which exact forms of the mapping are known.
[Eligiusz Złotkiewicz (Lublin)]
MSC 2000:
*30C30 Numerical methods in conformal mapping theory
65R20 Integral equations (numerical methods)
65E05 Numerical methods in complex analysis

Keywords: conformal mapping; ring domain

Cited in: Zbl 1198.30008

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