Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
Conformal mapping is a useful tool in science and engineering. On the other hand exact mapping functions are unknown except for some special regions. In this paper we present a new boundary integral equation with classical Neumann kernel associated to f f , where f is a conformal mapping of bounded...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2011
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/39926/1/AliHassan2011_IntegralandDifferentialEquationsforConformalMapping.pdf http://eprints.utm.my/id/eprint/39926/ https://dx.doi.org/10.11113/mjfas.v7n1.203 |
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| Summary: | Conformal mapping is a useful tool in science and engineering. On the other hand exact mapping functions are unknown except for some special regions. In this paper we present a new boundary integral equation with classical Neumann kernel associated to f f , where f is a conformal mapping of bounded multiply connected regions onto a disk with circular slit domain. This boundary integral equation is constructed from a boundary relationship satisfied by a function analytic on a multiply connected region. With f f known, one can then treat it as a differential equation for computing f. |
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