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Method of Exact Difference Schemes for the Numerical Solution of Parameterized Singularly Perturbed Problem

ArticleAçık Erişim

Özet

In this paper, we study a uniform finite difference method for the first-order singularly perturbed Volterra integro-differential problem depending on a parameter. We prove that the method is uniform second-order convergent except for a logarithmic factor in the discrete maximum norm. Numerical results are presented which are in agreement with the theoretical analysis. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Anahtar Kelimeler

finite difference methodparameterized problemsingular perturbationuniform convergenceVolterra integro-differential equation
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12295Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s00009-023-02360-yYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorYapman, Ömer
dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:12.579461841Z
dc.date.available2026-10-18T20:27:12.579461841Z
dc.date.issued2023
dc.description.abstractIn this paper, we study a uniform finite difference method for the first-order singularly perturbed Volterra integro-differential problem depending on a parameter. We prove that the method is uniform second-order convergent except for a logarithmic factor in the discrete maximum norm. Numerical results are presented which are in agreement with the theoretical analysis. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
dc.identifier.doi10.1007/s00009-023-02360-y
dc.identifier.eissn1660-5454
dc.identifier.issn1660-5446
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85149045055
dc.identifier.startpage146
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12295
dc.identifier.volume20
dc.identifier.wosWOS:000940323600001
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofMediterranean Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectfinite difference method
dc.subjectparameterized problem
dc.subjectsingular perturbation
dc.subjectuniform convergence
dc.subjectVolterra integro-differential equation
dc.titleMethod of Exact Difference Schemes for the Numerical Solution of Parameterized Singularly Perturbed Problem
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)