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...
| Main Authors: | , , |
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| Format: | Article |
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Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1874/ |
| _version_ | 1848809682016141312 |
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| author | Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, |
| author_facet | Ali H.M. Murid, Laey , Nee Hu Mohd Nor Mohamad, |
| author_sort | Ali H.M. Murid, |
| building | UKM Institutional Repository |
| collection | 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 |
| first_indexed | 2025-11-14T23:18:29Z |
| format | Article |
| id | ukm-1874 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:29Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| 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 |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/1874/ http://journalarticle.ukm.my/1874/ |