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Finite difference method for the reverse parabolic problem

MakaleAçık Erişim

Özet

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15430Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2012/294154Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorDural, Ayfer
dc.contributor.authorSozen, Yasar
dc.date.accessioned2026-10-22T10:24:00.078699824Z
dc.date.available2026-10-22T10:24:00.078699824Z
dc.date.issued2012
dc.description.abstractA finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.
dc.identifier.articlenumber294154
dc.identifier.doi10.1155/2012/294154
dc.identifier.eissn1687-0409
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84864950903
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15430
dc.identifier.volume2012
dc.identifier.wosWOS:000308153400001
dc.language.isoen
dc.publisherHINDAWI PUBLISHING CORPORATION
dc.relation.ispartofAbstract and Applied Analysis
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherNONLOCAL CONDITIONS
dc.subject.otherWELL-POSEDNESS
dc.subject.otherEQUATIONS
dc.subject.otherSUBJECT
dc.titleFinite difference method for the reverse parabolic problem
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex17
rdl.citation.scopus20
rdl.citation.wos20
rdl.oa.statusgold
rdl.oa.urlhttps://downloads.hindawi.com/journals/aaa/2012/294154.pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)