Analysis of finite difference methods for convection-diffusion problem
| dc.contributor.advisor | Neslitürk, Ali İhsan | en |
| dc.contributor.author | Demirayak, Murat | |
| dc.date.accessioned | 2023-11-13T09:28:26Z | |
| dc.date.available | 2023-11-13T09:28:26Z | |
| dc.date.issued | 2004 | en |
| dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2004 | en |
| dc.description | Includes bibliographical references (leaves: 39-40) | en |
| dc.description | Text in English; Abstract: Turkish and English | en |
| dc.description | ix, 46 leaves | en |
| dc.description.abstract | We consider finite difference methods for one dimensional convection diffusion problem. An error analysis shows that the solution of the upwind scheme is not uniformly convergent in the discrete maximum norm due to its behavior in the layer. Then, we introduce and analyze a numerical method, Il.inAllen-Southwell scheme, that is first-order uniformly convergent in the discrete maximum norm throughout the domain. Finally, we present numerical results that confirm theoretical findings. | en |
| dc.identifier.uri | http://standard-demo.gcris.com/handle/123456789/4223 | |
| dc.language | eng | 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 | QA431 .D37 2004 | en |
| dc.subject.lcsh | Finite differences | en |
| dc.title | Analysis of finite difference methods for convection-diffusion problem | en_US |
| dc.type | Master Thesis | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Demirayak, Murat | |
| gdc.description.department | Mathematics | en_US |
| gdc.description.publicationcategory | Tez | en_US |
| gdc.oaire.accepatencedate | 2004-01-01 | |
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| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Mathematics | |
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