Boundary integral equations with the generalized Neumann kernel for Laplace's equation 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 equa...
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| Format: | Article |
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Elsevier Inc.
2011
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| _version_ | 1796856455438008320 |
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| author | Nasser, Mohamed M. S. Mohamed Murid, Ali Hassan Mohamad, Ismail Alejaily, Ejaily Milad A. |
| author_facet | Nasser, Mohamed M. S. Mohamed Murid, Ali Hassan Mohamad, Ismail Alejaily, Ejaily Milad A. |
| author_sort | Nasser, 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 | 2024-03-05T18:43:12Z |
| format | Article |
| id | utm.eprints-28866 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:43:12Z |
| publishDate | 2011 |
| publisher | Elsevier Inc. |
| record_format | dspace |
| spelling | utm.eprints-288662019-01-31T11:30:11Z http://eprints.utm.my/28866/ Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions Nasser, Mohamed M. S. Mohamed Murid, Ali Hassan Mohamad, Ismail Alejaily, Ejaily Milad A. Q Science 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. Elsevier Inc. 2011-01 Article PeerReviewed Nasser, Mohamed M. S. and Mohamed Murid, Ali Hassan and Mohamad, Ismail and Alejaily, Ejaily Milad A. (2011) Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions. Applied Mathematics And Computation, 217 (9). pp. 4710-4727. ISSN 0096-3003 http://dx.doi.org/10.1016/j.amc.2010.11.027 DOI:10.1016/j.amc.2010.11.027 |
| spellingShingle | Q Science Nasser, Mohamed M. S. Mohamed Murid, Ali Hassan Mohamad, Ismail Alejaily, Ejaily Milad A. Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title | Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title_full | Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title_fullStr | Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title_full_unstemmed | Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title_short | Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions |
| title_sort | boundary integral equations with the generalized neumann kernel for laplace s equation in multiply connected regions |
| topic | Q Science |
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