Simultaneous identification of the solely time-dependent potential and source control terms from known moisture moments

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dc.authorid0000-0001-6725-5663
dc.contributor.authorAlosaimi, Moataz
dc.contributor.authorTekin, Ibrahim
dc.contributor.authorCetin, Mehmet Akif
dc.date.accessioned2026-01-24T12:30:50Z
dc.date.available2026-01-24T12:30:50Z
dc.date.issued2024
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractPseudo-parabolic equations are commonly used as mathematical models in mechanics, biology, and physics to address various applied problems. One particular application involves describing moisture transfer dynamics in subsoil layers using pseudo-parabolic equations. This manuscript examines the inverse problem (IP) of identifying the moisture transfer function, along with the time-varying potential and source control terms, in a linear pseudo-parabolic equation from known moisture moments. We prove the existence of a unique solution to the inverse problem for sufficiently small times by employing the contraction principle. The inverse problem is reformulated as a nonlinear least-squares minimization problem, with the unknowns subjected to simple bounds. To guarantee stability, the Tikhonov regularization technique is utilized. For the numerical discretization, we develop the Crank-Nicolson finite-difference method to solve the direct problem. To solve the nonlinear least-squares minimization problem, we utilize the built-in subroutine lsqnonlin from the MATLAB optimization toolbox. We present and thoroughly discuss numerical outcomes for a benchmark test example, providing insights into the performance and effectiveness of the proposed methodology.
dc.description.sponsorshipDeanship of Scientific Research, Taif University
dc.description.sponsorshipM. Alosaimi would like to acknowledge the Deanship of Scientific Research, Taif University for funding this work
dc.identifier.doi10.1002/mma.9877
dc.identifier.endpage5548
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85181206313
dc.identifier.scopusqualityQ1
dc.identifier.startpage5532
dc.identifier.urihttps://doi.org/10.1002/mma.9877
dc.identifier.urihttps://hdl.handle.net/20.500.12868/5471
dc.identifier.volume47
dc.identifier.wosWOS:001133338000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260121
dc.subjectFourier method
dc.subjectinverse problem
dc.subjectmoisture moment
dc.subjectnonlinear optimization
dc.subjectpseudo-parabolic equation
dc.subjectTikhonov regularization
dc.titleSimultaneous identification of the solely time-dependent potential and source control terms from known moisture moments
dc.typeArticle

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