Ashyralyev, Allaberen; Gercek, Okan On the second order of accuracy stable implicit difference scheme for elliptic-parabolic equations. (English) Zbl 1246.65195 Abstr. Appl. Anal. 2012, Article ID 230190, 13 p. (2012). Summary: 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. MSC: 65N06 Finite difference methods for boundary value problems involving PDEs 35J99 Elliptic equations and elliptic systems 35K99 Parabolic equations and parabolic systems Keywords:stable implicit difference scheme; elliptic-parabolic equations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] D. G. 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