Determination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary condition

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dc.authorscopusid56559723300en_US
dc.contributor.authorTekin, İbrahim
dc.date.accessioned2022-04-05T06:58:50Z
dc.date.available2022-04-05T06:58:50Z
dc.date.issued2021en_US
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe non-linear hyperbolic equation is used to model many non-linear phenomena. In this paper, we consider an initial boundary value problem for non-linear hyperbolic equation. We determine a time-dependent coefficient multiplying non-linear term by using an additional condition, and prove the existence and uniqueness theorem for small times. We also propose a numerical scheme to solve the inverse problem for non-linear hyperbolic equation, and give test examples for sine, quadratic and cubic non-linearity.en_US
dc.identifier.endpage171en_US
dc.identifier.issn23062193
dc.identifier.issue1en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage154en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12885/1867
dc.identifier.volume41en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorTekin, İbrahim
dc.language.isoenen_US
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijanen_US
dc.relation.ispartofTransactions Issue Mathematics, Azerbaijan National Academy of Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectExistence and uniquenessen_US
dc.subjectFinite difference methoden_US
dc.subjectFourier methoden_US
dc.subjectInverse coefficient problemen_US
dc.subjectNon-linear hyperbolic equationen_US
dc.titleDetermination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary conditionen_US
dc.typeArticleen_US

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