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Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour

ArticleAçık Erişim

Özet

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a linear second-order delay differential equation is examined. It is proved that it gives essentially a first-order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory. © 2019, Springer Nature Switzerland AG.

Anahtar Kelimeler

boundary-value problemdelay differential equationShishkin meshSingular perturbationuniform convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13549Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s00009-019-1335-9Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorCimen, Erkan
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:28:23.029768874Z
dc.date.available2026-10-18T20:28:23.029768874Z
dc.date.issued2019
dc.description.abstractDifference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a linear second-order delay differential equation is examined. It is proved that it gives essentially a first-order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory. © 2019, Springer Nature Switzerland AG.
dc.identifier.doi10.1007/s00009-019-1335-9
dc.identifier.eissn1660-5454
dc.identifier.issn1660-5446
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85064275780
dc.identifier.startpage57
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13549
dc.identifier.volume16
dc.identifier.wosWOS:000464743800002
dc.language.isoen
dc.publisherBirkhauser Verlag AG
dc.relation.ispartofMediterranean Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectboundary-value problem
dc.subjectdelay differential equation
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectuniform convergence
dc.titleUniform Convergence Method for a Delay Differential Problem with Layer Behaviour
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus21
rdl.citation.wos17
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)