Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region

This dissertation determines solution of a certain class of a mixed boundary value problem in bounded doubly connected region by using the method of boundary integral equations. The method depends on reformulating the boundary value problem with mixed Dirichlet - Neumann condition to the Riemann - H...

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Main Author:	Salim, Sarfraz Hassan
Format:	Thesis
Language:	English
Published:	2012
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/33412/1/SarfrazHassanSalimMFS2012.pdf
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id	my-utm-ep.33412
record_format	uketd_dc
spelling	my-utm-ep.334122017-09-20T08:50:42Z Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region 2012-12 Salim, Sarfraz Hassan QA Mathematics This dissertation determines solution of a certain class of a mixed boundary value problem in bounded doubly connected region by using the method of boundary integral equations. The method depends on reformulating the boundary value problem with mixed Dirichlet - Neumann condition to the Riemann - Hilbert problem. Our approach in this dissertation is to work out in detail the reformulation of the mixed boundary value problem into the Riemann - Hilbert problem and study the efficiency of the proposed numerical scheme on challenging geometries, in particular when the boundaries are closed to each other. As an examination of the proposed method, some numerical examples for some different test regions are presented. These examples include comparison between the numerical result and the exact solutions. Numerical examples reveal that the proposed method offers an effective solution technique for the mixed boundary value problem when the boundaries are close to each other. 2012-12 Thesis http://eprints.utm.my/id/eprint/33412/ http://eprints.utm.my/id/eprint/33412/1/SarfrazHassanSalimMFS2012.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	QA Mathematics
spellingShingle	QA Mathematics Salim, Sarfraz Hassan Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
description	This dissertation determines solution of a certain class of a mixed boundary value problem in bounded doubly connected region by using the method of boundary integral equations. The method depends on reformulating the boundary value problem with mixed Dirichlet - Neumann condition to the Riemann - Hilbert problem. Our approach in this dissertation is to work out in detail the reformulation of the mixed boundary value problem into the Riemann - Hilbert problem and study the efficiency of the proposed numerical scheme on challenging geometries, in particular when the boundaries are closed to each other. As an examination of the proposed method, some numerical examples for some different test regions are presented. These examples include comparison between the numerical result and the exact solutions. Numerical examples reveal that the proposed method offers an effective solution technique for the mixed boundary value problem when the boundaries are close to each other.
format	Thesis
qualification_level	Master's degree
author	Salim, Sarfraz Hassan
author_facet	Salim, Sarfraz Hassan
author_sort	Salim, Sarfraz Hassan
title	Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
title_short	Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
title_full	Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
title_fullStr	Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
title_full_unstemmed	Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region
title_sort	solving mixed boundary value problem via an integral equation with the generalized neumann kernel in bounded doubly connected region
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2012
url	http://eprints.utm.my/id/eprint/33412/1/SarfrazHassanSalimMFS2012.pdf
_version_	1747816154961805312

Solving mixed boundary value problem VIA an integral equation with the generalized neumann kernel in bounded doubly connected region

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