Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3341
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dc.contributor.advisorNeslitürk, Ali İhsanen
dc.contributor.authorBingöl, Özgür-
dc.date.accessioned2014-07-22T13:51:21Z
dc.date.available2014-07-22T13:51:21Z
dc.date.issued2007en
dc.identifier.urihttp://hdl.handle.net/11147/3341
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007en
dc.descriptionIncludes bibliographical references (leaves: 57-58)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionvii, 71 leavesen
dc.description.abstractWe consider finite difference methods for the approximation of one-dimensional convection-diffusion problem with a small parameter multiplying the diffusion term. An analysis of the centered difference and upwind difference schemes on equidistant meshes shows that these methods are not uniformly convergent in the discrete maximum norm. However, we show that the upwind method over a set of suitably distributed mesh points produce uniformly convergent approximations in the discrete maximum norm. We further investigate the upwind difference method for the approximation of the convection-diffusion problem with a point source. Theoretical findings are supported with the numerical results.en
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA372 .B61 2007en
dc.subject.lcshDifferential equationsen
dc.subject.lcshNumerical solutionsen
dc.titleUniformly convergent approximation on special meshesen_US
dc.typeMaster Thesisen_US
dc.institutionauthorBingöl, Özgür-
dc.departmentIzmir Institute of Technology. Mathematicsen
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.relation.publicationcategoryTezen_US
item.openairetypeMaster Thesis-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.languageiso639-1en-
item.cerifentitytypePublications-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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