Malaysian Journal of Mathematical Sciences, August 2012, Vol. 6(S)
Special Issue: International Workshop on Mathematical Analysis (IWOMA)
On Well-Posedness of the Second Order Accuracy Difference Scheme for Reverse Parabolic Equations
Allaberen Ashyralyev, Ayfer Dural and Yasar Sözen
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
The second order accuracy difference scheme for the approximate solution of the abstract reverse parabolic equation in a Hilbert space with the nonlocal boundary condition is considered. The stability estimates, almost coercivity, and coercivity estimates for the solution of this difference scheme are established. New coercivity inequalities for the solution of multipoint nonlocal boundary value difference equations of reverse parabolic type are obtained.
Keywords: Reverse parabolic equations, well-posedness, difference scheme
