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High-order finite difference technique for delay pseudo-parabolic equations

ArticleAçık Erişim

Özet

One dimensional initial–boundary delay pseudo-parabolic problem is being considered. To solve this problem numerically, we construct higher order difference method for approximation to the considered problem and obtain the error estimate for its solution. Based on the method of energy estimate the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Numerical example is presented. © 2017 Elsevier B.V.

Anahtar Kelimeler

Delay difference schemeError estimatePseudo-parabolic equationPartial differential equationsDifference methodDifference schemesEnergy estimatesError estimatesFully discrete schemeHigh-order finite differencesParabolic problemsPseudo-parabolic equationsProblem solving
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14970Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cam.2017.02.017Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmiraliyev, Gabil M.
dc.contributor.authorCimen, Erkan
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorCakir, Musa
dc.date.accessioned2026-10-18T20:29:46.260338059Z
dc.date.available2026-10-18T20:29:46.260338059Z
dc.date.issued2017
dc.description.abstractOne dimensional initial–boundary delay pseudo-parabolic problem is being considered. To solve this problem numerically, we construct higher order difference method for approximation to the considered problem and obtain the error estimate for its solution. Based on the method of energy estimate the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Numerical example is presented. © 2017 Elsevier B.V.
dc.identifier.doi10.1016/j.cam.2017.02.017
dc.identifier.eissn1879-1778
dc.identifier.endpage7
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-85014763191
dc.identifier.startpage1
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14970
dc.identifier.volume321
dc.identifier.wosWOS:000400878000001
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDelay difference scheme
dc.subjectError estimate
dc.subjectPseudo-parabolic equation
dc.subjectPartial differential equations
dc.subjectDifference method
dc.subjectDifference schemes
dc.subjectEnergy estimates
dc.subjectError estimates
dc.subjectFully discrete scheme
dc.subjectHigh-order finite differences
dc.subjectParabolic problems
dc.subjectPseudo-parabolic equations
dc.subjectProblem solving
dc.titleHigh-order finite difference technique for delay pseudo-parabolic equations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus33
rdl.citation.wos28
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)