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Stable difference schemes for fractional parabolic PDE

BildiriYalnız künye

Özet

The stable difference schemes for the multidimensional fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln 1/τ+|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.

Anahtar Kelimeler

Difference schemesDirichlet and Neumann boundary conditionsFractional parabolic equationsStability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15462Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.3636806Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorCakir, Zafer
dc.contributor.editorSimos, TE
dc.date.accessioned2026-10-22T10:24:03.011144874Z
dc.date.available2026-10-22T10:24:03.011144874Z
dc.date.issued2011
dc.description.abstractThe stable difference schemes for the multidimensional fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln 1/τ+|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.doi10.1063/1.3636806
dc.identifier.endpage620
dc.identifier.isbn978-073540956-9
dc.identifier.issn1551-7616
dc.identifier.scopus2-s2.0-81855200020
dc.identifier.startpage617
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15462
dc.identifier.volume1389
dc.identifier.wosWOS:000302239800152
dc.language.isoen
dc.publisherAMER INST PHYSICS
dc.relation.conferenceInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDifference schemes
dc.subjectDirichlet and Neumann boundary conditions
dc.subjectFractional parabolic equations
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherDERIVATIVES
dc.subject.otherEQUATIONS
dc.titleStable difference schemes for fractional parabolic PDE
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex1
rdl.citation.scopus6
rdl.citation.wos6
rdl.conference.date19 September 2011 through 25 September 2011
rdl.conference.placeHalkidiki
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)