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Title: Uniformly convergent approximation on special meshes
Authors: Neslitürk, Ali İhsan
Bingöl, Özgür
Issue Date: 2007
Publisher: Izmir Institute of Technology
Izmir Institute of Technology
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.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007
Includes bibliographical references (leaves: 57-58)
Text in English; Abstract: Turkish and English
vii, 71 leaves
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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