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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 840621, 14 pages
doi:10.1155/2012/840621
An Approximation of Ultra-Parabolic Equations
1Department of Mathematics, Fatih University, Istanbul, Turkey
2Department of Mathematics, ITTU, Ashgabat, Turkmenistan, Turkey
Received 7 February 2012; Accepted 3 April 2012
Academic Editor: Hasan Ali Yurtsever
Copyright © 2012 Allaberen Ashyralyev and Serhat Yılmaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The first and second order of accuracy difference schemes for the approximate solution of the initial boundary value problem for ultra-parabolic equations are presented. Stability of these difference schemes is established. Theoretical results are supported by the result of numerical examples.