An inverse problem for finding the lowest term of a heat equation with Wentzell-Neumann boundary condition

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dc.authorid0000-0001-6725-5663en_US
dc.contributor.authorIsmailov, Mansur I.
dc.contributor.authorTekin, İbrahim
dc.contributor.authorErkovan, Sait
dc.date.accessioned2021-03-20T20:12:50Z
dc.date.available2021-03-20T20:12:50Z
dc.date.issued2019
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstracttThe Fourier series analysis of the inverse problem of finding the coefficient of lowest term in the heat equation with a non-local Wentzell-Neumann boundary and integral overdetermination conditions is presented. Under some regularity, consistency and orthogonality conditions on the data and additional conditions on the sign of the Fourier coefficients of the initial data and known part of source term, the existence and uniqueness of the classical solution are shown by using the generalized Fourier method. Numerical solutions of the inverse problem are given both on a uniform grid and on a non-uniform grid with uniform finite difference method combined with the composite trapezoidal rule and with non-uniform finite difference method combined with Gauss-Lobatto quadrature, respectively. Two numerical examples (one is smooth while the other is non-smooth) will be provided to investigate the efficiency and the stability of the methods with respect to the coefficient of diffusive transport to the boundary.en_US
dc.identifier.doi10.1080/17415977.2018.1553968en_US
dc.identifier.endpage1634en_US
dc.identifier.issn1741-5977
dc.identifier.issn1741-5985
dc.identifier.issue11en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1608en_US
dc.identifier.urihttp://doi.org/10.1080/17415977.2018.1553968
dc.identifier.urihttps://hdl.handle.net/20.500.12885/715
dc.identifier.volume27en_US
dc.identifier.wosWOS:000483156800001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorTekin, İbrahim
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInverse Problems In Science And Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHeat equationen_US
dc.subjectinverse coefficient problemen_US
dc.subjectWentzell-Neumannen_US
dc.subjectboundary conditionen_US
dc.subjectgeneralized Fourier methoden_US
dc.subjectfinite difference methoden_US
dc.titleAn inverse problem for finding the lowest term of a heat equation with Wentzell-Neumann boundary conditionen_US
dc.typeArticleen_US

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