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FDM for fractional parabolic equations with the Neumann condition

MakaleAçık ErişimScopus SJRQ2

Özet

In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.

Anahtar Kelimeler

Difference schemesFractional parabolic equationsNeumann conditionStability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/12019Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1186/1687-1847-2013-120Yayıncı 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
20
WoS
16
OpenAlex
20
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorCakir, Zafer
dc.date.accessioned2026-10-22T10:19:36.018819599Z
dc.date.available2026-10-22T10:19:36.018819599Z
dc.date.issued2013
dc.description.abstractIn the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.
dc.identifier.articlenumber120
dc.identifier.doi10.1186/1687-1847-2013-120
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-84893929545
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12019
dc.identifier.volume2013
dc.identifier.wosWOS:000324727100001
dc.language.isoen
dc.publisherSPRINGEROPEN
dc.relation.ispartofAdvances in Difference Equations
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDifference schemes
dc.subjectFractional parabolic equations
dc.subjectNeumann condition
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherDIFFERENTIAL-EQUATIONS
dc.subject.otherCOERCIVE SOLVABILITY
dc.titleFDM for fractional parabolic equations with the Neumann condition
dc.typeArticle
rdl.citation.openalex20
rdl.citation.scopus20
rdl.citation.wos16
rdl.oa.statusgold
rdl.oa.urlhttps://advancesincontinuousanddiscretemodels.springeropen.com/counter/pdf/10.1186/1687-1847-2013-120
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)