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A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

ArticleAçık Erişim

Özet

In this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the method is of almost second order convergent in the discrete maximum norm. Numerical results are presented, which illustrate the theoretical results. © 2021 Elsevier B.V.

Anahtar Kelimeler

Finite difference schemeIntegral boundary conditionParameterized problemShishkin meshSingular perturbationUniform convergenceBoundary conditionsFinite difference methodMesh generationHybrid typeIntegral boundary conditionsParameterizedParameterized problemsSecond ordersShishkin meshesSingular perturbationsSingularly perturbed problemParameterization
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12914Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cam.2021.113894Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:27:46.187019353Z
dc.date.available2026-10-18T20:27:46.187019353Z
dc.date.issued2022
dc.description.abstractIn this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the method is of almost second order convergent in the discrete maximum norm. Numerical results are presented, which illustrate the theoretical results. © 2021 Elsevier B.V.
dc.identifier.doi10.1016/j.cam.2021.113894
dc.identifier.eissn1879-1778
dc.identifier.issn0377-0427
dc.identifier.scopus2-s2.0-85119251175
dc.identifier.startpage113894
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12914
dc.identifier.volume404
dc.identifier.wosWOS:000729991200007
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite difference scheme
dc.subjectIntegral boundary condition
dc.subjectParameterized problem
dc.subjectShishkin mesh
dc.subjectSingular perturbation
dc.subjectUniform convergence
dc.subjectBoundary conditions
dc.subjectFinite difference method
dc.subjectMesh generation
dc.subjectHybrid type
dc.subjectIntegral boundary conditions
dc.subjectParameterized
dc.subjectParameterized problems
dc.subjectSecond orders
dc.subjectShishkin meshes
dc.subjectSingular perturbations
dc.subjectSingularly perturbed problem
dc.subjectParameterization
dc.titleA second order accurate method for a parameterized singularly perturbed problem with integral boundary condition
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus9
rdl.citation.wos6
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)