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A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems

dc.authorscopusid 57221502698
dc.authorscopusid 57859778200
dc.contributor.author Gunes, Baransel
dc.contributor.author Demirbas, Mutlu
dc.date.accessioned 2025-05-10T17:59:09Z
dc.date.available 2025-05-10T17:59:09Z
dc.date.issued 2022
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Gunes, Baransel; Demirbas, Mutlu] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey en_US
dc.description.abstract In this paper, a discrete scheme is presented for solving singularly perturbed convection-diffusion equations. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Error estimates are carried out for both Bakhvalov (B-mesh) and Shishkin-type (S-mesh) meshes. Three numerical examples are solved to authenticate the theoretical findings. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.endpage 84 en_US
dc.identifier.issn 1512-0015
dc.identifier.scopus 2-s2.0-85136581793
dc.identifier.scopusquality Q4
dc.identifier.startpage 69 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14720/20426
dc.identifier.volume 86 en_US
dc.identifier.wos WOS:000830805700005
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Georgian Natl Acad Sciences en_US
dc.relation.ispartof Memoirs on Differential Equations and Mathematical Physics 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 Boundary Value Problem en_US
dc.subject Convection-Diffusion Equation en_US
dc.subject Difference Scheme en_US
dc.subject Error Estimate en_US
dc.subject Shishkin Mesh en_US
dc.subject Singular Perturbation en_US
dc.title A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems en_US
dc.type Article en_US

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