Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions

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dc.contributor.authorIsmailov, M. I.
dc.contributor.authorKanca, F.
dc.contributor.authorLesnic, D.
dc.date.accessioned2025-10-29T11:30:31Z
dc.date.issued2011
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractThis paper investigates the inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the Crank-Nicolson finite difference scheme combined with an iterative method are presented and discussed. (C) 2011 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2011.09.044
dc.identifier.endpage4146
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue8
dc.identifier.orcid0000-0003-3025-2770
dc.identifier.orcid0000-0002-5392-2944
dc.identifier.scopus2-s2.0-81855217568
dc.identifier.scopusqualityQ1
dc.identifier.startpage4138
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.09.044
dc.identifier.urihttps://hdl.handle.net/20.500.14854/11611
dc.identifier.volume218
dc.identifier.wosWOS:000297375600015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectFourier method
dc.subjectHeat source
dc.subjectInverse problem
dc.subjectIntegral overdetermination condition
dc.subjectFinite difference method
dc.subjectMollification method
dc.titleDetermination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
dc.typeArticle

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