Analysis of Finite Difference Methods for Convection-Diffusion Problem

Demirayak, Murat

Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3241

Full metadata record

DC Field	Value	Language
dc.contributor.advisor	Neslitürk, Ali İhsan	-
dc.contributor.author	Demirayak, Murat	-
dc.date.accessioned	2014-07-22T13:51:10Z
dc.date.available	2014-07-22T13:51:10Z
dc.date.issued	2004	-
dc.identifier.uri	http://hdl.handle.net/11147/3241	-
dc.description	Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2004	en_US
dc.description	Includes bibliographical references (leaves: 39-40)	en_US
dc.description	Text in English; Abstract: Turkish and English	en_US
dc.description	ix, 46 leaves	en_US
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_US
dc.language	eng	en
dc.language.iso	en	en_US
dc.publisher	Izmir Institute of Technology	en_US
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
dc.institutionauthor	Demirayak, Murat	-
dc.department	Thesis (Master)--İzmir Institute of Technology, Mathematics	en_US
dc.relation.publicationcategory	Tez	en_US
dc.identifier.wosquality	N/A	-
dc.identifier.scopusquality	N/A	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.languageiso639-1	en	-
item.openairetype	Master Thesis	-
item.grantfulltext	open	-
item.fulltext	With Fulltext	-
item.cerifentitytype	Publications	-
Appears in Collections:	Master Degree / Yüksek Lisans Tezleri