Simultaneous determination of the time-dependent potential and force terms in a fourth-order Rayleigh-Love equation

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dc.authorid0000-0001-5247-2913
dc.authorid0000-0001-6725-5663
dc.contributor.authorHuntul, M. J.
dc.contributor.authorTekin, Ibrahim
dc.date.accessioned2026-01-24T12:30:50Z
dc.date.available2026-01-24T12:30:50Z
dc.date.issued2023
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThis paper considers an inverse coefficient problem of simultaneous determination of solely time-dependent potential and force terms with the unknown longitudinal displacement from a Rayleigh-Love equation from two integral overdetermination measurements. Unique solvability of this theorem is investigated theoretically by using contraction principle. Although, the aforesaid inverse identification problem is ill-posed but has a unique solution. We use the cubic B-spline (CBS) collocation and Tikhonov regularization techniques to discretize the direct problem and to obtain stable as well as accurate solutions, respectively. The stability, for the discretized system of the direct problem, is also carried out by means of the von Neumann method. The acquired results demonstrate that accurate as well as stable solutions for the a(t)$$ a(t) $$ and b(t)$$ b(t) $$ are accessed for gamma 1=gamma 2 is an element of{10-8,10-7,10-6,10-5}$$ {\gamma}_1={\gamma}_2\in \left\{1{0}<^>{-8},1{0}<^>{-7},1{0}<^>{-6},1{0}<^>{-5}\right\} $$, when p is an element of{0.1%,1%}$$ p\in \left\{0.1\%,1\%\right\} $$ for both smooth and discontinuous potential and force terms. The stability analysis shows that the discretized system of the direct problem is unconditionally stable. Since the noisy data are introduced, the investigation and analysis model real circumstances where the practical quantities are naturally infested with noise. The technique establishes that accurate, as well as stable, solutions are obtained.
dc.identifier.doi10.1002/mma.8949
dc.identifier.endpage6971
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85144382331
dc.identifier.scopusqualityQ1
dc.identifier.startpage6949
dc.identifier.urihttps://doi.org/10.1002/mma.8949
dc.identifier.urihttps://hdl.handle.net/20.500.12868/5470
dc.identifier.volume46
dc.identifier.wosWOS:000899280700001
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.subjectexistence and uniqueness
dc.subjectfourth-order Rayleigh-Love equation
dc.subjectinverse problem
dc.subjectnonlinear optimization
dc.subjectTikhonov regularization
dc.titleSimultaneous determination of the time-dependent potential and force terms in a fourth-order Rayleigh-Love equation
dc.typeArticle

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