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A Second-Order Difference Scheme for the Singularly Perturbed Sobolev Problems With Third Type Boundary Conditions on Bakhvalov Mesh

dc.authorscopusid 57221502698
dc.authorscopusid 56043249200
dc.authorwosid Duru, Hakkı/Aac-8449-2019
dc.contributor.author Gunes, B.
dc.contributor.author Duru, Hakki
dc.date.accessioned 2025-05-10T17:37:20Z
dc.date.available 2025-05-10T17:37:20Z
dc.date.issued 2022
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Gunes, B.; Duru, Hakki] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey en_US
dc.description.abstract We consider a singularly perturbed initial-third boundary value Sobolev problems. Firstly, the asymptotic behaviour of the exact solution is analysed. Then, a second-order finite difference scheme is constructed on the special non-uniform mesh. By using energy estimate, the stability and convergence of the proposed scheme are investigated in the discrete maximum norm. Finally, three numerical examples are solved to validate the theory. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1080/10236198.2022.2043289
dc.identifier.endpage 405 en_US
dc.identifier.issn 1023-6198
dc.identifier.issn 1563-5120
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85126039227
dc.identifier.scopusquality Q3
dc.identifier.startpage 385 en_US
dc.identifier.uri https://doi.org/10.1080/10236198.2022.2043289
dc.identifier.uri https://hdl.handle.net/20.500.14720/14345
dc.identifier.volume 28 en_US
dc.identifier.wos WOS:000763180200001
dc.identifier.wosquality Q3
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd 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 Bakhvalov Mesh en_US
dc.subject Error Bounds en_US
dc.subject Finite Difference Method en_US
dc.subject Singular Perturbation en_US
dc.subject Sobolev Problem en_US
dc.title A Second-Order Difference Scheme for the Singularly Perturbed Sobolev Problems With Third Type Boundary Conditions on Bakhvalov Mesh en_US
dc.type Article en_US

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