Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

A …finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi…rst and second orders of accuracy difference schemes for this problem are established. Th...

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Main Authors: Charyyar Ashyralyyev, Mutlu Dedeturk
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/548017
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spelling doaj-4848eeaf7cac4ba5b680bb95759bb20a2020-11-24T22:33:43ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/548017548017Approximate Solution of Inverse Problem for Elliptic Equation with OverdeterminationCharyyar Ashyralyyev0Mutlu Dedeturk1Department of Mathematical Engineering, Gumushane University, 29100 Gumushane, TurkeyDepartment of Mathematical Engineering, Gumushane University, 29100 Gumushane, TurkeyA …finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi…rst and second orders of accuracy difference schemes for this problem are established. The algorithm for approximate solution is tested in a two-dimensional inverse problem.http://dx.doi.org/10.1155/2013/548017
collection DOAJ
language English
format Article
sources DOAJ
author Charyyar Ashyralyyev
Mutlu Dedeturk
spellingShingle Charyyar Ashyralyyev
Mutlu Dedeturk
Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
Abstract and Applied Analysis
author_facet Charyyar Ashyralyyev
Mutlu Dedeturk
author_sort Charyyar Ashyralyyev
title Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
title_short Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
title_full Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
title_fullStr Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
title_full_unstemmed Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
title_sort approximate solution of inverse problem for elliptic equation with overdetermination
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description A …finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi…rst and second orders of accuracy difference schemes for this problem are established. The algorithm for approximate solution is tested in a two-dimensional inverse problem.
url http://dx.doi.org/10.1155/2013/548017
work_keys_str_mv AT charyyarashyralyyev approximatesolutionofinverseproblemforellipticequationwithoverdetermination
AT mutludedeturk approximatesolutionofinverseproblemforellipticequationwithoverdetermination
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