Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the simply connected domain. The method show how to r...
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| Format: | Article |
| Language: | English |
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Sulaimani Polytechnic University
2017
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| Online Access: | http://eprints.utm.my/80655/1/MuniraIsmail2017_ComputingRobinProblemonUnbounded.pdf |
| _version_ | 1796863232019791872 |
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| author | Al-Shatri, Shwan H. H. Ismail, Munira Wakil, Karzan |
| author_facet | Al-Shatri, Shwan H. H. Ismail, Munira Wakil, Karzan |
| author_sort | Al-Shatri, Shwan H. H. |
| collection | ePrints |
| description | A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the simply connected domain. The method show how to reformulate the Robin boundary value problem BVP as Riemann-Hilbert problem RHP which lead to the system of integral equation, and the related differential equations are also created that give rise to unique solutions. Numerical results on several tests regions by the Nyström method NM with the trapezoidal rule TR are presented to clarify the solution technique for the Robin problem when the boundaries are sufficiently smooth. |
| first_indexed | 2024-03-05T20:23:39Z |
| format | Article |
| id | utm.eprints-80655 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:23:39Z |
| publishDate | 2017 |
| publisher | Sulaimani Polytechnic University |
| record_format | dspace |
| spelling | utm.eprints-806552019-06-27T06:12:42Z http://eprints.utm.my/80655/ Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel Al-Shatri, Shwan H. H. Ismail, Munira Wakil, Karzan QA Mathematics A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the simply connected domain. The method show how to reformulate the Robin boundary value problem BVP as Riemann-Hilbert problem RHP which lead to the system of integral equation, and the related differential equations are also created that give rise to unique solutions. Numerical results on several tests regions by the Nyström method NM with the trapezoidal rule TR are presented to clarify the solution technique for the Robin problem when the boundaries are sufficiently smooth. Sulaimani Polytechnic University 2017 Article PeerReviewed application/pdf en http://eprints.utm.my/80655/1/MuniraIsmail2017_ComputingRobinProblemonUnbounded.pdf Al-Shatri, Shwan H. H. and Ismail, Munira and Wakil, Karzan (2017) Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel. Kurdistan Journal of Applied Research (KJAR), 2 (3). pp. 1-5. ISSN 2411-7684 https://dx.doi.org/10.24017/science.2017.3.10 DOI:10.24017/science.2017.3.10 |
| spellingShingle | QA Mathematics Al-Shatri, Shwan H. H. Ismail, Munira Wakil, Karzan Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title | Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title_full | Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title_fullStr | Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title_full_unstemmed | Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title_short | Computing Robin problem on unbounded simply connected domain via an integral equation with the generalized Neumann kernel |
| title_sort | computing robin problem on unbounded simply connected domain via an integral equation with the generalized neumann kernel |
| topic | QA Mathematics |
| url | http://eprints.utm.my/80655/1/MuniraIsmail2017_ComputingRobinProblemonUnbounded.pdf |
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