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

Allaberen Ashyralyev and Okan Gercek

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/230190

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:230190

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