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Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem

ArticleAçık Erişim

Özet

This work deals with the singularly perturbed periodical boundary value problem for a quasilinear second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results supporting the theory are presented. (C) 2016 All rights reserved.

Anahtar Kelimeler

Singular perturbationperiodical problemfitted difference methoduniformly convergentboundary layerDIFFERENCE SCHEMEMathematics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/17057Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.22436/jmcs.016.02.13Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorCakir, Musa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmiraliyev, Gabli M.
dc.date.accessioned2026-10-18T20:42:59.494651297Z
dc.date.available2026-10-18T20:42:59.494651297Z
dc.date.issued2016
dc.description.abstractThis work deals with the singularly perturbed periodical boundary value problem for a quasilinear second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results supporting the theory are presented. (C) 2016 All rights reserved.
dc.identifier.doi10.22436/jmcs.016.02.13
dc.identifier.endpage255
dc.identifier.issn2008-949X
dc.identifier.issue2
dc.identifier.startpage248
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/17057
dc.identifier.volume16
dc.identifier.wosWOS:000391119500013
dc.language.isoen
dc.publisherINT SCIENTIFIC RESEARCH PUBLICATIONS
dc.relation.ispartofJOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSingular perturbation
dc.subjectperiodical problem
dc.subjectfitted difference method
dc.subjectuniformly convergent
dc.subjectboundary layer
dc.subjectDIFFERENCE SCHEME
dc.subjectMathematics
dc.titleConvergence analysis of the numerical method for a singularly perturbed periodical boundary value problem
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos4
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)