| Subject |
Local and nonlocal boundary value problems for partial differential equations |
| Title |
Well-Posedness of Difference Scheme for Elliptic-Parabolic Equations in Hölder Spaces without a Weight |
| Author(s) |
Allaberen Ashyralyev, Okan Gercek, Emel Zusi |
| Keywords |
Difference scheme, elliptic-parabolic equation, coercivity inequalities, well-posedness. |
| Abstract |
In the present paper, we are interested in studying a second order of accuracy difference scheme for the approximate solution of the elliptic-parabolic equation with the nonlocal boundary condition. Theorem on well-posedness of this problem in Hölder spaces without a weight is given. In an application, coercivity estimates in Hölder norms for approximate solution of a nonlocal boundary value problem for elliptic-parabolic differential equation are obtained.
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