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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
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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