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A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions

In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided into two sets. The Dirichlet condition is given for one set and the Neumann condition is gi...

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Main Authors: Al-Hatemi, Samer A. A., Mohamed Murid, Ali Hassan, Nasser, Mohamed M. S.
Format: Article
Language:English
Published: Springer Open 2013
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/50469/1/AliHassanMohamed2013_Aboundaryintegralequation.pdf
http://eprints.utm.my/id/eprint/50469/
http://dx.doi.org/10.1186/1687-2770-2013-54
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spelling my.utm.504692018-09-27T04:12:22Z http://eprints.utm.my/id/eprint/50469/ A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions Al-Hatemi, Samer A. A. Mohamed Murid, Ali Hassan Nasser, Mohamed M. S. QA Mathematics In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided into two sets. The Dirichlet condition is given for one set and the Neumann condition is given for the other set. The mixed problem is reformulated in the form of a Riemann-Hilbert (RH) problem which leads to a uniquely solvable Fredholm integral equation of the second kind. Three numerical examples are presented to show the effectiveness of the proposed method Springer Open 2013 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50469/1/AliHassanMohamed2013_Aboundaryintegralequation.pdf Al-Hatemi, Samer A. A. and Mohamed Murid, Ali Hassan and Nasser, Mohamed M. S. (2013) A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions. Boundary Value Problems . pp. 1-17. ISSN 1687-2770 http://dx.doi.org/10.1186/1687-2770-2013-54 DOI: 10.1186/1687-2770-2013-54
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Al-Hatemi, Samer A. A.
Mohamed Murid, Ali Hassan
Nasser, Mohamed M. S.
A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
description In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary are divided into two sets. The Dirichlet condition is given for one set and the Neumann condition is given for the other set. The mixed problem is reformulated in the form of a Riemann-Hilbert (RH) problem which leads to a uniquely solvable Fredholm integral equation of the second kind. Three numerical examples are presented to show the effectiveness of the proposed method
format Article
author Al-Hatemi, Samer A. A.
Mohamed Murid, Ali Hassan
Nasser, Mohamed M. S.
author_facet Al-Hatemi, Samer A. A.
Mohamed Murid, Ali Hassan
Nasser, Mohamed M. S.
author_sort Al-Hatemi, Samer A. A.
title A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
title_short A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
title_full A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
title_fullStr A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
title_full_unstemmed A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
title_sort boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
publisher Springer Open
publishDate 2013
url http://eprints.utm.my/id/eprint/50469/1/AliHassanMohamed2013_Aboundaryintegralequation.pdf
http://eprints.utm.my/id/eprint/50469/
http://dx.doi.org/10.1186/1687-2770-2013-54
_version_ 1643652802586607616
score 13.211869

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