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2012 On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Allaberen Ashyralyev, Okan Gercek
Abstr. Appl. Anal. 2012(SI18): 1-13 (2012). DOI: 10.1155/2012/230190

Abstract

We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established. In an application, coercivity estimates in Hölder norms for approximate solutions of multipoint nonlocal boundary value problems for elliptic-parabolic differential equations are obtained.

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Allaberen Ashyralyev. Okan Gercek. "On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations." Abstr. Appl. Anal. 2012 (SI18) 1 - 13, 2012. https://doi.org/10.1155/2012/230190

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1246.65195
MathSciNet: MR2947737
Digital Object Identifier: 10.1155/2012/230190

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI18 • 2012
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