Abstract and Applied Analysis

On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 230190, 13 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365174053

Digital Object Identifier
doi:10.1155/2012/230190

Mathematical Reviews number (MathSciNet)
MR2947737

Zentralblatt MATH identifier
1246.65195

Citation

Ashyralyev, Allaberen; Gercek, Okan. On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 230190, 13 pages. doi:10.1155/2012/230190. https://projecteuclid.org/euclid.aaa/1365174053

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