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A Fitted Second-Order Difference Method for a Parameterized Problem with Integral Boundary Condition Exhibiting Initial Layer

ArticleAçık Erişim

Özet

In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is O(N- 2ln N) uniform convergent on Shishkin meshes. Numerical results are also presented. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Anahtar Kelimeler

Finite difference schemeIntegral boundary conditionParameterized problemShishkin meshSingular perturbationUniform convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13423Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s00009-021-01758-wYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKudu, Mustafa
dc.contributor.authorAmirali, Ilhame
dc.contributor.authorAmiraliyev, Gabil M.
dc.date.accessioned2026-10-18T20:28:15.303720264Z
dc.date.available2026-10-18T20:28:15.303720264Z
dc.date.issued2021
dc.description.abstractIn this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is O(N- 2ln N) uniform convergent on Shishkin meshes. Numerical results are also presented. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
dc.identifier.doi10.1007/s00009-021-01758-w
dc.identifier.eissn1660-5454
dc.identifier.issn1660-5446
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85104399565
dc.identifier.startpage106
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13423
dc.identifier.volume18
dc.identifier.wosWOS:000640776300001
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofMediterranean Journal of 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.titleA Fitted Second-Order Difference Method for a Parameterized Problem with Integral Boundary Condition Exhibiting Initial Layer
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos3
rdl.oa.statusgreen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)