Reconstruction of a source term in a parabolic integro-differential equation from final data
The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2011-06-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/5524 |
| _version_ | 1818903286643687424 |
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| author | Kairi Kasemets Jaan Janno |
| author_facet | Kairi Kasemets Jaan Janno |
| author_sort | Kairi Kasemets |
| collection | DOAJ |
| description | The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method. |
| first_indexed | 2024-12-19T20:49:08Z |
| format | Article |
| id | doaj.art-88b95b1716d641038798dbf6cb35559c |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T20:49:08Z |
| publishDate | 2011-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-88b95b1716d641038798dbf6cb35559c2022-12-21T20:06:08ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102011-06-0116210.3846/13926292.2011.578282Reconstruction of a source term in a parabolic integro-differential equation from final dataKairi Kasemets0Jaan Janno1Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, EstoniaTallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, EstoniaThe identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.https://journals.vgtu.lt/index.php/MMA/article/view/5524Inverse problemintegro-differential equationquasi-solution |
| spellingShingle | Kairi Kasemets Jaan Janno Reconstruction of a source term in a parabolic integro-differential equation from final data Mathematical Modelling and Analysis Inverse problem integro-differential equation quasi-solution |
| title | Reconstruction of a source term in a parabolic integro-differential equation from final data |
| title_full | Reconstruction of a source term in a parabolic integro-differential equation from final data |
| title_fullStr | Reconstruction of a source term in a parabolic integro-differential equation from final data |
| title_full_unstemmed | Reconstruction of a source term in a parabolic integro-differential equation from final data |
| title_short | Reconstruction of a source term in a parabolic integro-differential equation from final data |
| title_sort | reconstruction of a source term in a parabolic integro differential equation from final data |
| topic | Inverse problem integro-differential equation quasi-solution |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/5524 |
| work_keys_str_mv | AT kairikasemets reconstructionofasourceterminaparabolicintegrodifferentialequationfromfinaldata AT jaanjanno reconstructionofasourceterminaparabolicintegrodifferentialequationfromfinaldata |