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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/548017 |
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| _version_ | 1832562318694678528 |
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| author | Charyyar Ashyralyyev Mutlu Dedeturk |
| author_facet | Charyyar Ashyralyyev Mutlu Dedeturk |
| author_sort | Charyyar Ashyralyyev |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4848eeaf7cac4ba5b680bb95759bb20a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4848eeaf7cac4ba5b680bb95759bb20a2025-02-03T01:22:54ZengWileyAbstract 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 |
| spellingShingle | Charyyar Ashyralyyev Mutlu Dedeturk Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination Abstract and Applied Analysis |
| title | 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_short | Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination |
| title_sort | approximate solution of inverse problem for elliptic equation with overdetermination |
| url | http://dx.doi.org/10.1155/2013/548017 |
| work_keys_str_mv | AT charyyarashyralyyev approximatesolutionofinverseproblemforellipticequationwithoverdetermination AT mutludedeturk approximatesolutionofinverseproblemforellipticequationwithoverdetermination |