A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem
We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace’s equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/254123 |
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| author | Mohamed M. S. Nasser Ali H. M. Murid Samer A. A. Al-Hatemi |
| author_facet | Mohamed M. S. Nasser Ali H. M. Murid Samer A. A. Al-Hatemi |
| author_sort | Mohamed M. S. Nasser |
| collection | DOAJ |
| description | We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace’s equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method. |
| format | Article |
| id | doaj-art-ffe9c6028e9d4d86968138fd141a4f64 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ffe9c6028e9d4d86968138fd141a4f642025-02-03T01:00:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/254123254123A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value ProblemMohamed M. S. Nasser0Ali H. M. Murid1Samer A. A. Al-Hatemi2Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, MalaysiaWe present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace’s equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.http://dx.doi.org/10.1155/2012/254123 |
| spellingShingle | Mohamed M. S. Nasser Ali H. M. Murid Samer A. A. Al-Hatemi A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem Journal of Applied Mathematics |
| title | A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem |
| title_full | A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem |
| title_fullStr | A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem |
| title_full_unstemmed | A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem |
| title_short | A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem |
| title_sort | boundary integral equation with the generalized neumann kernel for a certain class of mixed boundary value problem |
| url | http://dx.doi.org/10.1155/2012/254123 |
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