A numerical solution study on singularly perturbed convection-diffusion nonlocal boundary problem

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dc.contributor.authorArslan, Derya
dc.contributor.authorÇakır, Musa
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-04T11:21:20Z
dc.date.available2021-11-04T11:21:20Z
dc.date.issued2019-08-01
dc.description.abstractThis important numerical method is given for the numerical solution of singularly perturbed convection-diffusion nonlocal boundary value problem. First, the behavior of the exact solution is analyzed, which is needed for analysis of the numerical solution in later sections. Next, uniformly convergent finite difference scheme on a Shishkin mesh is established, which is based on the method of integral identities with the use exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. It is shown that the method is first order accurate expect for a logarithmic factor, in the discrete maximum norm. Finally, the numerical results are presented in table and graphs, and these results reveal the validity of the theoretical results of our method.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1491tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue2tr_TR
dc.identifier.startpage1482tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.540631tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75898
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.540631tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectSingular perturbationtr_TR
dc.subjectFinite difference schemetr_TR
dc.subjectShishkin meshtr_TR
dc.titleA numerical solution study on singularly perturbed convection-diffusion nonlocal boundary problemtr_TR
dc.typeArticletr_TR

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Cilt:68 Sayı:02 (2019)