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Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions

MakaleAçık ErişimScopus SJRQ2

Özet

The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1 / ( + | h |)) for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations.

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/13361Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2012/463746Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
13
WoS
10
OpenAlex
14
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorCakir, Zafer
dc.date.accessioned2026-10-22T10:21:15.657968217Z
dc.date.available2026-10-22T10:21:15.657968217Z
dc.date.issued2012
dc.description.abstractThe stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1 / ( + | h |)) for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations.
dc.identifier.articlenumber463746
dc.identifier.doi10.1155/2012/463746
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84864919305
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/13361
dc.identifier.volume2012
dc.identifier.wosWOS:000308156500001
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.otherEQUATIONS
dc.subject.otherDERIVATIVES
dc.subject.otherOPERATORS
dc.titleStability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions
dc.typeArticle
rdl.citation.openalex14
rdl.citation.scopus13
rdl.citation.wos10
rdl.oa.statusgold
rdl.oa.urlhttps://downloads.hindawi.com/journals/aaa/2012/463746.pdf
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)