Analysis for Two-Dimensional Inverse Quasilinear Parabolic Problem by Fourier Method

dc.authorscopusid 37066259800
dc.authorscopusid 55934110600
dc.authorwosid Kanca, Fatma/ABA-7683-2021
dc.contributor.author Kanca, Fatma
dc.contributor.author Baglan, Irem
dc.contributor.other Bilgisayar Mühendisliği Bölümü
dc.date.accessioned 2025-01-11T13:01:54Z
dc.date.available 2025-01-11T13:01:54Z
dc.date.issued 2021
dc.department Fenerbahçe University en_US
dc.department-temp [Kanca, Fatma] Fenerbahce Univ, Dept Comp Engn, Istanbul, Turkey; [Baglan, Irem] Kocaeli Univ, Dept Math, Izmit, Turkey en_US
dc.description.abstract In this work, two-dimensional inverse quasi-linear parabolic problem with periodic boundary and integral overdetermination conditions is investigated. The formal solution is obtained by the Fourier approximation. Under some natural regularity and consistency conditions on the input data,the existence, uniqueness and continuously dependence upon the data of the solution are proved by iteration method. The inverse problem is first examined by linearization and then used implicit finite difference scheme for the numerical solution. Also predictor corrector method is considered in the numerical approach. Some results on the numerical solution with two examples are presented with figures and tables. The sensitivity of the scheme with respect to noisy overdetermination data is illustrated. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation 3
dc.identifier.doi 10.1080/17415977.2021.1890068
dc.identifier.endpage 1945 en_US
dc.identifier.issn 1741-5977
dc.identifier.issn 1741-5985
dc.identifier.issue 12 en_US
dc.identifier.scopus 2-s2.0-85101658919
dc.identifier.scopusquality N/A
dc.identifier.startpage 1912 en_US
dc.identifier.uri https://doi.org/10.1080/17415977.2021.1890068
dc.identifier.uri https://hdl.handle.net/20.500.14627/192
dc.identifier.volume 29 en_US
dc.identifier.wos WOS:000621754600001
dc.identifier.wosquality Q4
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 4
dc.subject Inverse Problem en_US
dc.subject Two-Dimensional Heat Problem en_US
dc.subject Periodic Boundary Conditions en_US
dc.title Analysis for Two-Dimensional Inverse Quasilinear Parabolic Problem by Fourier Method en_US
dc.type Article en_US
dc.wos.citedbyCount 3
dspace.entity.type Publication
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