A Boundary integral equation for the Neumann problem in bounded multiply connected region

This research determines solutions of the Neumann problem in multiply connected regions by using the method of boundary integral equations. This method is widely used for solving boundary value problems. The method depends on reducing the boundary value problem in question to an integral equation on...

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Main Author:	Alejaily, Ejaily Milad Ahmed
Format:	Thesis
Language:	English
Published:	2009
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/12324/6/EjailyMiladAhmedMFS2009.pdf
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id	my-utm-ep.12324
record_format	uketd_dc
spelling	my-utm-ep.123242017-09-20T08:46:21Z A Boundary integral equation for the Neumann problem in bounded multiply connected region 2009-10 Alejaily, Ejaily Milad Ahmed Q Science (General) QA Mathematics This research determines solutions of the Neumann problem in multiply connected regions by using the method of boundary integral equations. This method is widely used for solving boundary value problems. The method depends on reducing the boundary value problem in question to an integral equation on the boundary of the domain of the problem, and then solves this integral equation. Our approach in this research is to convert the Neumann problem into the Riemann- Hilbert problem and then derive an integral equation related to the Riemann-Hilbert problem. The derived integral equation is not uniquely solvable. The complete discussion on the solvability of the Neumann problem, the Riemann-Hilbert problem as well as the derived integral equation is presented. As an examination of the present method, some numerical examples for some different test regions are presented. These examples include comparison between the numerical results and the exact solutions. 2009-10 Thesis http://eprints.utm.my/id/eprint/12324/ http://eprints.utm.my/id/eprint/12324/6/EjailyMiladAhmedMFS2009.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General) QA Mathematics
spellingShingle	Q Science (General) QA Mathematics Alejaily, Ejaily Milad Ahmed A Boundary integral equation for the Neumann problem in bounded multiply connected region
description	This research determines solutions of the Neumann problem in multiply connected regions by using the method of boundary integral equations. This method is widely used for solving boundary value problems. The method depends on reducing the boundary value problem in question to an integral equation on the boundary of the domain of the problem, and then solves this integral equation. Our approach in this research is to convert the Neumann problem into the Riemann- Hilbert problem and then derive an integral equation related to the Riemann-Hilbert problem. The derived integral equation is not uniquely solvable. The complete discussion on the solvability of the Neumann problem, the Riemann-Hilbert problem as well as the derived integral equation is presented. As an examination of the present method, some numerical examples for some different test regions are presented. These examples include comparison between the numerical results and the exact solutions.
format	Thesis
qualification_level	Master's degree
author	Alejaily, Ejaily Milad Ahmed
author_facet	Alejaily, Ejaily Milad Ahmed
author_sort	Alejaily, Ejaily Milad Ahmed
title	A Boundary integral equation for the Neumann problem in bounded multiply connected region
title_short	A Boundary integral equation for the Neumann problem in bounded multiply connected region
title_full	A Boundary integral equation for the Neumann problem in bounded multiply connected region
title_fullStr	A Boundary integral equation for the Neumann problem in bounded multiply connected region
title_full_unstemmed	A Boundary integral equation for the Neumann problem in bounded multiply connected region
title_sort	boundary integral equation for the neumann problem in bounded multiply connected region
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2009
url	http://eprints.utm.my/id/eprint/12324/6/EjailyMiladAhmedMFS2009.pdf
_version_	1747814923629494272

A Boundary integral equation for the Neumann problem in bounded multiply connected region

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