NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS

Sidi, H. O.; Zaky, M. A.; Waled, K. E.; Akgül, A.; Hendy, A. S.

doi:10.59277/RomRepPhys.2023.75.120

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://elar.urfu.ru/handle/10995/130912

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Sidi, H. O.	en
dc.contributor.author	Zaky, M. A.	en
dc.contributor.author	Waled, K. E.	en
dc.contributor.author	Akgül, A.	en
dc.contributor.author	Hendy, A. S.	en
dc.date.accessioned	2024-04-05T16:35:20Z	-
dc.date.available	2024-04-05T16:35:20Z	-
dc.date.issued	2023	-
dc.identifier.citation	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	harvard_pure
dc.identifier.citation	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	apa_pure
dc.identifier.issn	1221-1451	-
dc.identifier.other	Final	2
dc.identifier.other	All Open Access, Bronze	3
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175531372&doi=10.59277%2fRomRepPhys.2023.75.120&partnerID=40&md5=cbe228e7bfc8840beb7bc9fb3d263416	1
dc.identifier.other	https://doi.org/10.59277/romrepphys.2023.75.120	pdf
dc.identifier.uri	http://elar.urfu.ru/handle/10995/130912	-
dc.description.abstract	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.	en
dc.description.sponsorship	Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University: IMSIU-RP23095	en
dc.description.sponsorship	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).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Publishing House of the Romanian Academy	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Romanian Reports in Physics	2
dc.source	Romanian Reports in Physics	en
dc.subject	FRACTIONAL LAPLACIAN	en
dc.subject	INVERSE PROBLEM	en
dc.subject	ITERATIVE NON-STATIONARY TIKHONOV REGULARIZATION	en
dc.subject	TIME-SPACE FRACTIONAL EQUATION	en
dc.title	NUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	\|info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.59277/RomRepPhys.2023.75.120	-
dc.identifier.scopus	85175531372	-
local.contributor.employee	Sidi, H.O., Department of Mathematics, Faculty of Sciences, University of Nouakchott Al Aasriya, Nouakchott, Mauritania	en
local.contributor.employee	Zaky, M.A., Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia	en
local.contributor.employee	Waled, K.E., Department of Mathematics, Faculty of Sciences, University of Nouakchott Al Aasriya, Nouakchott, Mauritania	en
local.contributor.employee	Akgül, A., Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon, Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, 56100, Turkey	en
local.contributor.employee	Hendy, A.S., Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St, Yekaterinburg, 620002, Russian Federation	en
local.issue	4	-
local.volume	75	-
dc.identifier.wos	001110490400009	-
local.contributor.department	Department of Mathematics, Faculty of Sciences, University of Nouakchott Al Aasriya, Nouakchott, Mauritania	en
local.contributor.department	Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia	en
local.contributor.department	Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon	en
local.contributor.department	Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, 56100, Turkey	en
local.contributor.department	Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St, Yekaterinburg, 620002, Russian Federation	en
local.identifier.pure	47718088	-
local.description.order	120	-
local.identifier.eid	2-s2.0-85175531372	-
local.identifier.wos	WOS:001110490400009	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

Файлы этого ресурса:

Файл	Описание	Размер	Формат
2-s2.0-85175531372.pdf		393,58 kB	Adobe PDF	Просмотреть/Открыть

Показать базовое описание ресурса Статистика

Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.