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Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region

n this paper, we solve the mixed boundary value problem on unbounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is the...

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Main Authors: Alhatemi, S. A. A., Murid, A. H. M., Nasser, M. M. S.
Format: Conference or Workshop Item
Published: 2011
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/46280/
http://www.mjfas.utm.my/index.php/mjfas/article/view/147
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spelling my.utm.462802017-07-06T04:18:12Z http://eprints.utm.my/id/eprint/46280/ Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region Alhatemi, S. A. A. Murid, A. H. M. Nasser, M. M. S. Q Science (General) n this paper, we solve the mixed boundary value problem on unbounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. The kernel of this integral equation is the generalized Neumann kernel. As an examination of the proposed method, some numerical examples for some different test regions are presented. 2011 Conference or Workshop Item PeerReviewed Alhatemi, S. A. A. and Murid, A. H. M. and Nasser, M. M. S. (2011) Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region. In: International Seminar On The Application Of Science & Mathematics 2011. http://www.mjfas.utm.my/index.php/mjfas/article/view/147
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle Q Science (General)
Alhatemi, S. A. A.
Murid, A. H. M.
Nasser, M. M. S.
Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
description n this paper, we solve the mixed boundary value problem on unbounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the mixed boundary value problem into the form of Riemann-Hilbert problem. The Riemann-Hilbert problem is then solved using a uniquely solvable Fredholm integral equation on the boundary of the region. The kernel of this integral equation is the generalized Neumann kernel. As an examination of the proposed method, some numerical examples for some different test regions are presented.
format Conference or Workshop Item
author Alhatemi, S. A. A.
Murid, A. H. M.
Nasser, M. M. S.
author_facet Alhatemi, S. A. A.
Murid, A. H. M.
Nasser, M. M. S.
author_sort Alhatemi, S. A. A.
title Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
title_short Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
title_full Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
title_fullStr Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
title_full_unstemmed Solving a mixed boundary value problem via an integral equation with generalized Neumann Kernel on unbounded doubly conneced region
title_sort solving a mixed boundary value problem via an integral equation with generalized neumann kernel on unbounded doubly conneced region
publishDate 2011
url http://eprints.utm.my/id/eprint/46280/
http://www.mjfas.utm.my/index.php/mjfas/article/view/147
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score 13.211869

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