Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
This paper presents a new boundary integral method for the solution of Laplace’s equation on both bounded and unbounded multiply connected regions, with either the Dirichlet boundary condition or the Neumann boundary condition. The method is based on two uniquely solvable Fredholm integral equations...
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| Format: | Article |
| Language: | English |
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2012
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| Online Access: | http://eprints.utm.my/46661/1/M.M.S.Nasser_2012_Boundary%20integral%20equations%20with%20the%20generalized%20Neumann%20kernel%20for%20Laplace%E2%80%99s%20equation.pdf |
| _version_ | 1796858998061793280 |
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| author | Naseer, Mohamed M. S. Murid, Ali Hassan Mohamed Ismail, Munira Alejaily, Ejaily M. A. |
| author_facet | Naseer, Mohamed M. S. Murid, Ali Hassan Mohamed Ismail, Munira Alejaily, Ejaily M. A. |
| author_sort | Naseer, Mohamed M. S. |
| collection | ePrints |
| description | This paper presents a new boundary integral method for the solution of Laplace’s equation on both bounded and unbounded multiply connected regions, with either the Dirichlet boundary condition or the Neumann boundary condition. The method is based on two uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. Numerical results are presented to illustrate the efficiency of the proposed method. |
| first_indexed | 2024-03-05T19:20:41Z |
| format | Article |
| id | utm.eprints-46661 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T19:20:41Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | utm.eprints-466612017-09-18T01:04:48Z http://eprints.utm.my/46661/ Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions Naseer, Mohamed M. S. Murid, Ali Hassan Mohamed Ismail, Munira Alejaily, Ejaily M. A. QA Mathematics This paper presents a new boundary integral method for the solution of Laplace’s equation on both bounded and unbounded multiply connected regions, with either the Dirichlet boundary condition or the Neumann boundary condition. The method is based on two uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. Numerical results are presented to illustrate the efficiency of the proposed method. 2012 Article PeerReviewed application/pdf en http://eprints.utm.my/46661/1/M.M.S.Nasser_2012_Boundary%20integral%20equations%20with%20the%20generalized%20Neumann%20kernel%20for%20Laplace%E2%80%99s%20equation.pdf Naseer, Mohamed M. S. and Murid, Ali Hassan Mohamed and Ismail, Munira and Alejaily, Ejaily M. A. (2012) Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions. Applied Mathematics and Computations, 217 . pp. 4710-4727. ISSN 0096-3003 https://dx.doi.org/10.1016/j.amc.2010.11.027 |
| spellingShingle | QA Mathematics Naseer, Mohamed M. S. Murid, Ali Hassan Mohamed Ismail, Munira Alejaily, Ejaily M. A. Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title | Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title_full | Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title_fullStr | Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title_full_unstemmed | Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title_short | Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions |
| title_sort | boundary integral equations with the generalized neumann kernel for laplace s equations in multiply connected regions |
| topic | QA Mathematics |
| url | http://eprints.utm.my/46661/1/M.M.S.Nasser_2012_Boundary%20integral%20equations%20with%20the%20generalized%20Neumann%20kernel%20for%20Laplace%E2%80%99s%20equation.pdf |
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