Numerical conformal mapping of doubly connected regions onto a disc with a circular slit
An integral equation method based on the Neumann kernel for conformal mapping f(z) of doubly connected regions onto a unit disc with a circular slit of radius µ < 1 is presented. The theoretical development is based on the boundary integral equation for conformal mapping of doubly connected re...
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Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1874/ http://journalarticle.ukm.my/1874/ |
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ukm-18742011-09-21T07:31:59Z http://journalarticle.ukm.my/1874/ Numerical conformal mapping of doubly connected regions onto a disc with a circular slit Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, An integral equation method based on the Neumann kernel for conformal mapping f(z) of doubly connected regions onto a unit disc with a circular slit of radius µ < 1 is presented. The theoretical development is based on the boundary integral equation for conformal mapping of doubly connected region in an earlier work of the authors. In this paper, a related system of integral equations is constructed that is satisfied by f '(z) and µ. For numerical experiment, the integral equation is discretised which leads to a system of nonlinear equations. The system obtained is solved simultaneously using Gauss-Newton method. Numerical implementation on a circular annulus is also presented Penerbit ukm 2008-12 Article PeerReviewed Ali H.M. Murid, and Laey , Nee Hu and Mohd Nor Mohamad, (2008) Numerical conformal mapping of doubly connected regions onto a disc with a circular slit. Journal of Quality Measurement and Analysis, 4 (2). pp. 29-38. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
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Digital Repository |
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Local University |
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Universiti Kebangasaan Malaysia |
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UKM Institutional Repository |
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Online Access |
| description |
An integral equation method based on the Neumann kernel for conformal mapping f(z) of
doubly connected regions onto a unit disc with a circular slit of radius µ < 1 is presented. The
theoretical development is based on the boundary integral equation for conformal mapping of
doubly connected region in an earlier work of the authors. In this paper, a related system of
integral equations is constructed that is satisfied by f '(z) and µ. For numerical experiment,
the integral equation is discretised which leads to a system of nonlinear equations. The system
obtained is solved simultaneously using Gauss-Newton method. Numerical implementation on
a circular annulus is also presented |
| format |
Article |
| author |
Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, |
| spellingShingle |
Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, Numerical conformal mapping of doubly connected regions onto a disc with a circular slit |
| author_facet |
Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, |
| author_sort |
Ali H.M. Murid, |
| title |
Numerical conformal mapping of doubly connected
regions onto a disc with a circular slit
|
| title_short |
Numerical conformal mapping of doubly connected
regions onto a disc with a circular slit
|
| title_full |
Numerical conformal mapping of doubly connected
regions onto a disc with a circular slit
|
| title_fullStr |
Numerical conformal mapping of doubly connected
regions onto a disc with a circular slit
|
| title_full_unstemmed |
Numerical conformal mapping of doubly connected
regions onto a disc with a circular slit
|
| title_sort |
numerical conformal mapping of doubly connected
regions onto a disc with a circular slit |
| publisher |
Penerbit ukm |
| publishDate |
2008 |
| url |
http://journalarticle.ukm.my/1874/ http://journalarticle.ukm.my/1874/ |
| first_indexed |
2023-09-18T19:34:33Z |
| last_indexed |
2023-09-18T19:34:33Z |
| _version_ |
1777405184020840448 |