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A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem

dc.authorid Amiraliyev, Gabil M./0000-0001-6585-7353
dc.authorscopusid 22133512500
dc.authorscopusid 6506398616
dc.contributor.author Cakir, Musa
dc.contributor.author Amiraliyev, Gabil M.
dc.date.accessioned 2025-05-10T17:19:37Z
dc.date.available 2025-05-10T17:19:37Z
dc.date.issued 2010
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa] 100 Y Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Amiraliyev, Gabil M.] Sinop Univ, Fac Sci, Dept Math, TR-57000 Sinop, Turkey en_US
dc.description Amiraliyev, Gabil M./0000-0001-6585-7353 en_US
dc.description.abstract The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions. The numerical method is constructed on piecewise uniform Shishkin type mesh. The method is shown to be convergent, uniformly in the diffusion parameter epsilon, of first order in the discrete maximum norm. Some numerical experiments illustrate in practice the result of convergence proved theoretically. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1155/2010/495184
dc.identifier.issn 1110-757X
dc.identifier.issn 1687-0042
dc.identifier.scopus 2-s2.0-77955346585
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1155/2010/495184
dc.identifier.uri https://hdl.handle.net/20.500.14720/9857
dc.identifier.wos WOS:000287761200001
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Hindawi Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.title A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem en_US
dc.type Article en_US

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