Numerical conformal mapping via a Fredholm integral equation using Fourier method
An interpolation formula based on Fourier method for the numerical solution of a Fredholm integral equation related to conformal mapping of a simply connected region onto a unit disc is presented.The integral equation involves the Neumann kernel.The numerical results obtained from the interpolation...
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2009
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| Online Access: | https://repo.uum.edu.my/id/eprint/7680/1/Nu.pdf |
| _version_ | 1825802175936200704 |
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| author | Mohamed Murid, Ali Hassan Teh, Yuan Ying |
| author_facet | Mohamed Murid, Ali Hassan Teh, Yuan Ying |
| author_sort | Mohamed Murid, Ali Hassan |
| collection | UUM |
| description | An interpolation formula based on Fourier method for the numerical solution of a Fredholm integral equation related to conformal mapping of a simply connected region onto a unit disc is presented.The integral equation involves the Neumann kernel.The numerical results obtained from the interpolation formula based on Fourier method are then compared with the numerical results obtained from the interpolation performance.Numerical implementations on some test regions are presented. |
| first_indexed | 2024-07-04T05:34:39Z |
| format | Article |
| id | uum-7680 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:34:39Z |
| publishDate | 2009 |
| publisher | Universiti Putra Malaysia |
| record_format | eprints |
| spelling | uum-76802013-04-18T07:01:05Z https://repo.uum.edu.my/id/eprint/7680/ Numerical conformal mapping via a Fredholm integral equation using Fourier method Mohamed Murid, Ali Hassan Teh, Yuan Ying QA Mathematics An interpolation formula based on Fourier method for the numerical solution of a Fredholm integral equation related to conformal mapping of a simply connected region onto a unit disc is presented.The integral equation involves the Neumann kernel.The numerical results obtained from the interpolation formula based on Fourier method are then compared with the numerical results obtained from the interpolation performance.Numerical implementations on some test regions are presented. Universiti Putra Malaysia 2009 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/7680/1/Nu.pdf Mohamed Murid, Ali Hassan and Teh, Yuan Ying (2009) Numerical conformal mapping via a Fredholm integral equation using Fourier method. Malaysian Journal of Mathematical Sciences, 3 (1). pp. 83-93. ISSN 1823-8343 http://einspem.upm.edu.my/journal/ |
| spellingShingle | QA Mathematics Mohamed Murid, Ali Hassan Teh, Yuan Ying Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title | Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title_full | Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title_fullStr | Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title_full_unstemmed | Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title_short | Numerical conformal mapping via a Fredholm integral equation using Fourier method |
| title_sort | numerical conformal mapping via a fredholm integral equation using fourier method |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/7680/1/Nu.pdf |
| work_keys_str_mv | AT mohamedmuridalihassan numericalconformalmappingviaafredholmintegralequationusingfouriermethod AT tehyuanying numericalconformalmappingviaafredholmintegralequationusingfouriermethod |