NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS
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| Автор |
Sidi, H. O.
Zaky, M. A. Waled, K. E. Akgül, A. Hendy, A. S. |
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| Тематика |
FRACTIONAL LAPLACIAN
INVERSE PROBLEM ITERATIVE NON-STATIONARY TIKHONOV REGULARIZATION TIME-SPACE FRACTIONAL EQUATION |
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| Описание |
In this paper, we consider the problem of identifying the unknown source function in the time-space fractional diffusion equation from the final observation data. An implicit difference technique is proposed in conjunction with the matrix transfer scheme for approximating the solution of the direct problem. The challenge pertains to an inverse scenario encompassing a nonlocal ill-posed operator. The problem under investigation is formulated as a regularized optimization problem with a least-squares cost function minimization objective. An approximation for the source function is obtained using an iterative non-stationary Tikhonov regularization approach. Three numerical examples are reported to verify the efficiency of the proposed schemes. © 2023, Publishing House of the Romanian Academy. All rights reserved.
Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University: IMSIU-RP23095 Acknowledgements. This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095). |
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| Дата |
2024-04-05T16:35:20Z
2024-04-05T16:35:20Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Sidi, HO, Zaky, MA, Waled, KE, Akgül, A & Hendy, AS 2023, 'NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS', Romanian Reports in Physics, Том. 75, № 4, 120. https://doi.org/10.59277/RomRepPhys.2023.75.120
Sidi, H. O., Zaky, M. A., Waled, K. E., Akgül, A., & Hendy, A. S. (2023). NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS. Romanian Reports in Physics, 75(4), [120]. https://doi.org/10.59277/RomRepPhys.2023.75.120 1221-1451 Final All Open Access, Bronze https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175531372&doi=10.59277%2fRomRepPhys.2023.75.120&partnerID=40&md5=cbe228e7bfc8840beb7bc9fb3d263416 https://doi.org/10.59277/romrepphys.2023.75.120 http://elar.urfu.ru/handle/10995/130912 10.59277/RomRepPhys.2023.75.120 85175531372 001110490400009 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Publishing House of the Romanian Academy
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| Источник |
Romanian Reports in Physics
Romanian Reports in Physics |
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