Author : Özgür Bingöl
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (421 download)
Book Synopsis Uniformly Convergent Approximation On Special Meshes by : Özgür Bingöl
Download or read book Uniformly Convergent Approximation On Special Meshes written by Özgür Bingöl and published by . This book was released on 2007 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.