Numerical algorithm for solving parabolic identification problem with mixed boundary condition
A source identification problem for a parabolic equation with mixed boundary condition is studied. Stability estimates for the solution of identification problem with mixed boundary conditions are obtained. Numerical algorithm for solving this inverse problem are proposed. Stability estimates for di...
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| Format: | Article |
| Language: | English |
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EJAAM
2023-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2023/10.62780-ejaam-2023-004.pdf |
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| _version_ | 1823864856152899584 |
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| author | Charyyar Ashyralyyev Tazegul Ashyralyyeva |
| author_facet | Charyyar Ashyralyyev Tazegul Ashyralyyeva |
| author_sort | Charyyar Ashyralyyev |
| collection | DOAJ |
| description | A source identification problem for a parabolic equation with mixed boundary condition is studied. Stability estimates for the solution of identification problem with mixed boundary conditions are obtained. Numerical algorithm for solving this inverse problem are proposed. Stability estimates for difference schemes are established. The numerical result in test example is presented. |
| format | Article |
| id | doaj-art-5397c68047344647ad2742d72a5cbe92 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-5397c68047344647ad2742d72a5cbe922025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902023-12-01202310.62780/ejaam/2023-004Numerical algorithm for solving parabolic identification problem with mixed boundary conditionCharyyar Ashyralyyev0Tazegul Ashyralyyeva1Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkiye, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, KazakhstanDepartment of Higher Mathematics, Yagshygeldi Kakayev International University of Oil and Gas, Ashgabat, TurkmenistanA source identification problem for a parabolic equation with mixed boundary condition is studied. Stability estimates for the solution of identification problem with mixed boundary conditions are obtained. Numerical algorithm for solving this inverse problem are proposed. Stability estimates for difference schemes are established. The numerical result in test example is presented.https://ejaam.org/articles/2023/10.62780-ejaam-2023-004.pdfmixed boundary conditionsource identification problemdifference schemesstabilitywell-posednessstability estimates |
| spellingShingle | Charyyar Ashyralyyev Tazegul Ashyralyyeva Numerical algorithm for solving parabolic identification problem with mixed boundary condition E-Journal of Analysis and Applied Mathematics mixed boundary condition source identification problem difference schemes stability well-posedness stability estimates |
| title | Numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| title_full | Numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| title_fullStr | Numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| title_full_unstemmed | Numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| title_short | Numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| title_sort | numerical algorithm for solving parabolic identification problem with mixed boundary condition |
| topic | mixed boundary condition source identification problem difference schemes stability well-posedness stability estimates |
| url | https://ejaam.org/articles/2023/10.62780-ejaam-2023-004.pdf |
| work_keys_str_mv | AT charyyarashyralyyev numericalalgorithmforsolvingparabolicidentificationproblemwithmixedboundarycondition AT tazegulashyralyyeva numericalalgorithmforsolvingparabolicidentificationproblemwithmixedboundarycondition |