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Three layer difference method for linear pseudo-parabolic equation with delay

ArticleAçık Erişim

Özet

This paper deals with the study a finite-difference approximation of the one dimensional initial–boundary value problem for a pseudo-parabolic equation containing time delay in second derivative. We propose three layer difference scheme and obtain the error estimates for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and order two in time. Numerical results are presented to illustrate the theoretical findings. © 2021 Elsevier B.V.

Anahtar Kelimeler

Delay pseudo-parabolic equationError estimateThree layer difference schemeBoundary value problemsPartial differential equationsDifference methodDifference schemesError estimatesFinite difference approximationsInitial-boundary value problemsOne-dimensionalPseudo-parabolic equationsThree-layerFinite difference method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12813Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cam.2021.113786Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:40.849168380Z
dc.date.available2026-10-18T20:27:40.849168380Z
dc.date.issued2022
dc.description.abstractThis paper deals with the study a finite-difference approximation of the one dimensional initial–boundary value problem for a pseudo-parabolic equation containing time delay in second derivative. We propose three layer difference scheme and obtain the error estimates for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and order two in time. Numerical results are presented to illustrate the theoretical findings. © 2021 Elsevier B.V.
dc.identifier.doi10.1016/j.cam.2021.113786
dc.identifier.eissn1879-1778
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-85114402983
dc.identifier.startpage113786
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12813
dc.identifier.volume401
dc.identifier.wosWOS:000697029800006
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDelay pseudo-parabolic equation
dc.subjectError estimate
dc.subjectThree layer difference scheme
dc.subjectBoundary value problems
dc.subjectPartial differential equations
dc.subjectDifference method
dc.subjectDifference schemes
dc.subjectError estimates
dc.subjectFinite difference approximations
dc.subjectInitial-boundary value problems
dc.subjectOne-dimensional
dc.subjectPseudo-parabolic equations
dc.subjectThree-layer
dc.subjectFinite difference method
dc.titleThree layer difference method for linear pseudo-parabolic equation with delay
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus18
rdl.citation.wos16
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)