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A numerical treatment for singularly perturbed differential equations with integral boundary condition

ArticleAçık Erişim

Özet

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. © 2006 Elsevier Inc. All rights reserved.

Anahtar Kelimeler

Error estimatesFinite differenceIntegral boundary conditionShishkin meshSingular perturbationBoundary conditionsBoundary value problemsComputational complexityDifferential equationsIntegral equationsPerturbation techniquesIntegral boundary conditionsNumerical methods
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/16152Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.amc.2006.07.060Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAmiraliyev, G.M.
dc.contributor.authorAmiraliyeva, I.G.
dc.contributor.authorKudu, Mustafa
dc.date.accessioned2026-10-18T20:30:57.918176828Z
dc.date.available2026-10-18T20:30:57.918176828Z
dc.date.issued2007
dc.description.abstractWe consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. © 2006 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2006.07.060
dc.identifier.endpage582
dc.identifier.issn0096-3003
dc.identifier.issue1
dc.identifier.scopus2-s2.0-33846936470
dc.identifier.startpage574
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16152
dc.identifier.volume185
dc.language.isoen
dc.relation.ispartofApplied Mathematics and Computation
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectError estimates
dc.subjectFinite difference
dc.subjectIntegral boundary condition
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectBoundary conditions
dc.subjectBoundary value problems
dc.subjectComputational complexity
dc.subjectDifferential equations
dc.subjectIntegral equations
dc.subjectPerturbation techniques
dc.subjectIntegral boundary conditions
dc.subjectNumerical methods
dc.titleA numerical treatment for singularly perturbed differential equations with integral boundary condition
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus39
rdl.source.indexSCOPUS