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https://hdl.handle.net/11147/3341
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Neslitürk, Ali İhsan | en |
dc.contributor.author | Bingöl, Özgür | - |
dc.date.accessioned | 2014-07-22T13:51:21Z | |
dc.date.available | 2014-07-22T13:51:21Z | |
dc.date.issued | 2007 | en |
dc.identifier.uri | http://hdl.handle.net/11147/3341 | |
dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007 | en |
dc.description | Includes bibliographical references (leaves: 57-58) | en |
dc.description | Text in English; Abstract: Turkish and English | en |
dc.description | vii, 71 leaves | en |
dc.description.abstract | We 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.iso | en | en_US |
dc.publisher | Izmir Institute of Technology | en |
dc.publisher | Izmir Institute of Technology | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject.lcc | QA372 .B61 2007 | en |
dc.subject.lcsh | Differential equations | en |
dc.subject.lcsh | Numerical solutions | en |
dc.title | Uniformly Convergent Approximation on Special Meshes | en_US |
dc.type | Master Thesis | en_US |
dc.institutionauthor | Bingöl, Özgür | - |
dc.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
dc.relation.publicationcategory | Tez | en_US |
item.fulltext | With Fulltext | - |
item.openairetype | Master Thesis | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
T000649.pdf | MasterThesis | 623.11 kB | Adobe PDF | View/Open |
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