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The Stability and Convergence Analysis for Singularly Perturbed Sobolev Problems With Robin Type Boundary Condition

dc.authorscopusid 56043249200
dc.authorscopusid 57221502698
dc.authorwosid Duru, Hakkı/Aac-8449-2019
dc.contributor.author Duru, Hakki
dc.contributor.author Gunes, Baransel
dc.date.accessioned 2025-05-10T17:22:19Z
dc.date.available 2025-05-10T17:22:19Z
dc.date.issued 2023
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Duru, Hakki; Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, Van, Turkiye en_US
dc.description.abstract This paper presents the robust and stable difference scheme to estimate singularly perturbed Sobolev boundary value problems with Robin type boundary condition. Firstly, the asymptotic behavior of the solution is analyzed. By using interpolating quadrature rules and basis functions, a completely exponentially fitted tree-level difference scheme is constructed on the uniform mesh. Then an error estimation is investigated in a discrete energy norm. Two numerical examples are solved and the computational results are tabulated. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1515/gmj-2023-2004
dc.identifier.endpage 363 en_US
dc.identifier.issn 1072-947X
dc.identifier.issn 1572-9176
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85148749731
dc.identifier.scopusquality Q2
dc.identifier.startpage 349 en_US
dc.identifier.uri https://doi.org/10.1515/gmj-2023-2004
dc.identifier.uri https://hdl.handle.net/20.500.14720/10550
dc.identifier.volume 30 en_US
dc.identifier.wos WOS:000936614800001
dc.identifier.wosquality Q3
dc.language.iso en en_US
dc.publisher Walter de Gruyter Gmbh en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Difference Scheme en_US
dc.subject Error Bounds en_US
dc.subject Singular Perturbation en_US
dc.subject Sobolev Problem en_US
dc.title The Stability and Convergence Analysis for Singularly Perturbed Sobolev Problems With Robin Type Boundary Condition en_US
dc.type Article en_US

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