An integral equation method for solving exterior Neumann problems on smooth regions
This work develops a boundary integral equation method for numerical solution of the exterior Neumann problem. An integral equation for solving the exterior Neumann problem in a simply connected region is derived in this dissertation based on the exterior Riemann-Hilbert problem. In the first step t...
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| 格式: | Thesis |
| 語言: | 英语 |
| 出版: |
2009
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| 主題: | |
| 在線閱讀: | http://eprints.utm.my/12322/6/AzlinaJumadiMFS2009.pdf |
| _version_ | 1846215453539565568 |
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| author | Jumadi, Azlina |
| author_facet | Jumadi, Azlina |
| author_sort | Jumadi, Azlina |
| description | This work develops a boundary integral equation method for numerical solution of the exterior Neumann problem. An integral equation for solving the exterior Neumann problem in a simply connected region is derived in this dissertation based on the exterior Riemann-Hilbert problem. In the first step the exterior Neumann problem is reduced to an exterior Riemann-Hilbert problem for the derivative of an auxiliary function which is analytic in the region. Then, the exterior Riemann-Hilbert problem is transformed to a uniquely solvable Fredholm integral equation on the boundary of the region. Once this equation is solved, the auxiliary function and the solution of the exterior Neumann problem can be obtained. The efficiency of the method is illustrated by some numerical examples. |
| format | Thesis |
| id | uthm-12322 |
| institution | Universiti Teknologi Malaysia |
| language | English |
| publishDate | 2009 |
| record_format | eprints |
| spelling | uthm-123222017-09-17T05:37:33Z http://eprints.utm.my/12322/ An integral equation method for solving exterior Neumann problems on smooth regions Jumadi, Azlina Q Science (General) QA Mathematics This work develops a boundary integral equation method for numerical solution of the exterior Neumann problem. An integral equation for solving the exterior Neumann problem in a simply connected region is derived in this dissertation based on the exterior Riemann-Hilbert problem. In the first step the exterior Neumann problem is reduced to an exterior Riemann-Hilbert problem for the derivative of an auxiliary function which is analytic in the region. Then, the exterior Riemann-Hilbert problem is transformed to a uniquely solvable Fredholm integral equation on the boundary of the region. Once this equation is solved, the auxiliary function and the solution of the exterior Neumann problem can be obtained. The efficiency of the method is illustrated by some numerical examples. 2009-11 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/12322/6/AzlinaJumadiMFS2009.pdf Jumadi, Azlina (2009) An integral equation method for solving exterior Neumann problems on smooth regions. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. |
| spellingShingle | Q Science (General) QA Mathematics Jumadi, Azlina An integral equation method for solving exterior Neumann problems on smooth regions |
| title | An integral equation method for solving exterior Neumann problems on smooth regions |
| title_full | An integral equation method for solving exterior Neumann problems on smooth regions |
| title_fullStr | An integral equation method for solving exterior Neumann problems on smooth regions |
| title_full_unstemmed | An integral equation method for solving exterior Neumann problems on smooth regions |
| title_short | An integral equation method for solving exterior Neumann problems on smooth regions |
| title_sort | integral equation method for solving exterior neumann problems on smooth regions |
| topic | Q Science (General) QA Mathematics |
| url | http://eprints.utm.my/12322/6/AzlinaJumadiMFS2009.pdf |
| url-record | http://eprints.utm.my/12322/ |
| work_keys_str_mv | AT jumadiazlina anintegralequationmethodforsolvingexteriorneumannproblemsonsmoothregions AT jumadiazlina integralequationmethodforsolvingexteriorneumannproblemsonsmoothregions |