Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3241
Title: Analysis of finite difference methods for convection-diffusion problem
Authors: Neslitürk, Ali İhsan
Demirayak, Murat
Issue Date: 2004
Publisher: Izmir Institute of Technology
Izmir Institute of Technology
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.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2004
Includes bibliographical references (leaves: 39-40)
Text in English; Abstract: Turkish and English
ix, 46 leaves
URI: http://hdl.handle.net/11147/3241
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

Files in This Item:
File Description SizeFormat 
T000481.pdfMasterThesis707.18 kBAdobe PDFThumbnail
View/Open
Show full item record

CORE Recommender

Page view(s)

64
checked on Jan 30, 2023

Download(s)

42
checked on Jan 30, 2023

Google ScholarTM

Check


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.