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

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dc.contributor.authorSidi, H. ould
dc.contributor.authorZaky, M. A.
dc.contributor.authorEL Waled, K.
dc.contributor.authorAkgul, A.
dc.contributor.authorHendy, A. S.
dc.date.accessioned2024-12-24T19:32:58Z
dc.date.available2024-12-24T19:32:58Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we consider the problem of identifying the unknown source function in the time-space fractional diffusion equation from the final obser-vation 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 pro-posed schemes.
dc.description.sponsorshipDeanship of Scientific Re- search at Imam Mohammad Ibn Saud Islamic University (IMSIU) [IMSIU-RP23095]
dc.description.sponsorshipAcknowledgements. This work was supported and funded by the Deanship of Scientific Re- search at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095) .
dc.identifier.doi10.59277/RomRepPhys.2023.75.120
dc.identifier.issn1221-1451
dc.identifier.issn1841-8759
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85175531372
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.59277/RomRepPhys.2023.75.120
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7905
dc.identifier.volume75
dc.identifier.wosWOS:001110490400009
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherEditura Acad Romane
dc.relation.ispartofRomanian Reports in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectTime-space fractional equation
dc.subjectInverse problem
dc.subjectFractional Lapla-cian
dc.subjectIterative non-stationary Tikhonov regularization
dc.titleNUMERICAL RECONSTRUCTION OF A SPACE-DEPENDENT SOURCE TERM FOR MULTIDIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATIONS
dc.typeArticle

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