A numerical method on Bakhvalov-Shishkin mesh for Volterra integro-differential equations with a boundary layer

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dc.contributor.authorÇakır, Hayriye Guckir
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-26T10:47:09Z
dc.date.available2022-12-26T10:47:09Z
dc.date.issued2022
dc.description.abstractWe construct a finite difference scheme for a first-order linear singularly perturbed Volterra integro-differential equation(SPVIDE) on Bakhvalov-Shishkin mesh. For the discretization of the problem, we use the integral identities and deal with the emerging integrals terms with interpolating quadrature rules which also yields remaining terms. The stability bound and the error estimates of the approximate solution are established. Further, we demonstrate that the scheme on Bakhvalov-Shishkin mesh is N(O−1)uniformly convergent, where N is the mesh parameter. The numerical results are also provided for a couple of examples.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage67tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue1tr_TR
dc.identifier.startpage51tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.946910tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86454
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.946910tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectSingularly perturbed, VIDE;, difference schemes, uniform convergence, error estimatestr_TR
dc.titleA numerical method on Bakhvalov-Shishkin mesh for Volterra integro-differential equations with a boundary layertr_TR
dc.typeArticletr_TR

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