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.
"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