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Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation

ArticleAçık Erişim

Özet

A linear Volterra delay-integro-differential equation with a singular perturbation parameter ε is considered. The problem is discretized using exponentially fitted schemes on the Shishkin type meshes. It is proved that the numerical approximations generated by this method are O(N−2lnN) convergent in the discrete maximum norm, where N is the mesh parameter. Numerical results show a good agreement with the theoretical analysis. © 2021 Elsevier Ltd

Anahtar Kelimeler

Finite difference methodSingular perturbationUniform convergenceVolterra delay-integro-differential equationIntegrodifferential equationsNumerical methodsPerturbation techniquesConvergence analysisFinitedifference methods (FDM)Perturbation parametersSecond ordersSingular perturbationsSingularly perturbedVolterraVolterrum delay-integro-differential equation
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13075Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.chaos.2021.111100Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorYapman, Ömer
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:55.039868308Z
dc.date.available2026-10-18T20:27:55.039868308Z
dc.date.issued2021
dc.description.abstractA linear Volterra delay-integro-differential equation with a singular perturbation parameter ε is considered. The problem is discretized using exponentially fitted schemes on the Shishkin type meshes. It is proved that the numerical approximations generated by this method are O(N−2lnN) convergent in the discrete maximum norm, where N is the mesh parameter. Numerical results show a good agreement with the theoretical analysis. © 2021 Elsevier Ltd
dc.identifier.doi10.1016/j.chaos.2021.111100
dc.identifier.eissn1873-2887
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85107957396
dc.identifier.startpage111100
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13075
dc.identifier.volume150
dc.identifier.wosWOS:000687259500009
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofChaos, Solitons and Fractals
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference method
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectVolterra delay-integro-differential equation
dc.subjectIntegrodifferential equations
dc.subjectNumerical methods
dc.subjectPerturbation techniques
dc.subjectConvergence analysis
dc.subjectFinitedifference methods (FDM)
dc.subjectPerturbation parameters
dc.subjectSecond orders
dc.subjectSingular perturbations
dc.subjectSingularly perturbed
dc.subjectVolterra
dc.subjectVolterrum delay-integro-differential equation
dc.titleConvergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus17
rdl.citation.wos15
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)