An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries
This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions. The integral equations are uniquely solvable Fredholm integral equations of the second kind with the gen...
| Main Authors: | , , , , , , , |
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| Format: | Monograph |
| Language: | English |
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Faculty of Science
2011
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| Subjects: | |
| Online Access: | http://eprints.utm.my/17881/1/Report_78316.pdf |
| _version_ | 1796855652627251200 |
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| author | Mohamed Murid, Ali Hassan Ismail, Munira Nasser, Mohamed M. S. Rahmat, Hamisan Husin, Ummu Tasmin Jumadi, Azlina Ahmad Alejaily, Ejaily Milad Sian, Chye Mie |
| author_facet | Mohamed Murid, Ali Hassan Ismail, Munira Nasser, Mohamed M. S. Rahmat, Hamisan Husin, Ummu Tasmin Jumadi, Azlina Ahmad Alejaily, Ejaily Milad Sian, Chye Mie |
| author_sort | Mohamed Murid, Ali Hassan |
| collection | ePrints |
| description | This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions. The integral equations are uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. The complete discussion of the solvability of the integral equations is also presented. Numerical results obtained show the efficiency of the proposed method when the boundaries of the regions are sufficiently smooth. |
| first_indexed | 2024-03-05T18:31:42Z |
| format | Monograph |
| id | utm.eprints-17881 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:31:42Z |
| publishDate | 2011 |
| publisher | Faculty of Science |
| record_format | dspace |
| spelling | utm.eprints-178812011-11-25T08:50:00Z http://eprints.utm.my/17881/ An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries Mohamed Murid, Ali Hassan Ismail, Munira Nasser, Mohamed M. S. Rahmat, Hamisan Husin, Ummu Tasmin Jumadi, Azlina Ahmad Alejaily, Ejaily Milad Sian, Chye Mie QA Mathematics This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions. The integral equations are uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. The complete discussion of the solvability of the integral equations is also presented. Numerical results obtained show the efficiency of the proposed method when the boundaries of the regions are sufficiently smooth. Faculty of Science 2011-04-30 Monograph NonPeerReviewed application/pdf en http://eprints.utm.my/17881/1/Report_78316.pdf Mohamed Murid, Ali Hassan and Ismail, Munira and Nasser, Mohamed M. S. and Rahmat, Hamisan and Husin, Ummu Tasmin and Jumadi, Azlina and Ahmad Alejaily, Ejaily Milad and Sian, Chye Mie (2011) An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries. Project Report. Faculty of Science, Skudai, Johor. (Unpublished) |
| spellingShingle | QA Mathematics Mohamed Murid, Ali Hassan Ismail, Munira Nasser, Mohamed M. S. Rahmat, Hamisan Husin, Ummu Tasmin Jumadi, Azlina Ahmad Alejaily, Ejaily Milad Sian, Chye Mie An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title | An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title_full | An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title_fullStr | An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title_full_unstemmed | An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title_short | An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| title_sort | integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries |
| topic | QA Mathematics |
| url | http://eprints.utm.my/17881/1/Report_78316.pdf |
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