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Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination

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cris.virtualsource.orcid973b36dd-308c-4956-af76-ea93875033d6
dc.contributor.affiliationNear East University; Peoples Friendship University of Russia; Institute of Mathematics & Mathematical Modeling; Turkish Aeronautical Association; Turk Hava Kurumu University
dc.contributor.authorAshyralyev, Allaberen; Sazaklioglu, Ali Ugur
dc.contributor.authorSazaklıoğlu, Ali Uğur
dc.date.accessioned2024-06-25T11:45:31Z
dc.date.available2024-06-25T11:45:31Z
dc.date.issued2017
dc.description.abstractIn the present paper, a time-dependent source identification problem subject to an integral overdetermination is considered. Stability estimates for this differential problem are established. Furthermore, a first and a second order of accuracy difference schemes are proposed for the approximate solution of this problem. Stability and almost coercive stability estimates for these difference schemes are established. Additionally, some illustrative numerical results are provided.
dc.description.doi10.1080/01630563.2017.1316996
dc.description.endpage1294
dc.description.issue10
dc.description.pages19
dc.description.researchareasMathematics
dc.description.startpage1276
dc.description.urihttp://dx.doi.org/10.1080/01630563.2017.1316996
dc.description.volume38
dc.description.woscategoryMathematics, Applied
dc.identifier.issn0163-0563
dc.identifier.urihttps://acikarsiv.thk.edu.tr/handle/123456789/1299
dc.language.isoEnglish
dc.publisherTAYLOR & FRANCIS INC
dc.relation.journalNUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
dc.subjectFinite difference method; identification problem; inverse problem; stability theory; 65M06; 65M32; 34K20
dc.subjectRIGHT-HAND SIDE; PARABOLIC EQUATION; NUMERICAL-SOLUTION; SOLVABILITY; STABILITY; SPACE
dc.titleInvestigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination
dc.typeArticle
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery5ca49aab-e769-49a9-a447-ad7ade8e08f9

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