A Note on the Second Order of Accuracy Difference Schemes for Hyperbolic-parabolic Equations
by
Allaberen Ashyralyev and Hasan Ali Yurtsever
Fatih University, Istanbul, Turkey and International Turkmen-Turkish University, Ashgabat, Turkmenistan; Fatih University, Istanbul Turkey and Florida International University Miami, USA

The nonlocal boundary value problem for hyperbolic-parabolic equations in a Hilbert space H is considered. The second order of accuracy difference schemes generated by the operator A approximately solving this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established. In applications, the stability estimates for the solutions of the difference schemes of the mixed type boundary value problems for the hyperbolic-parabolic equations are obtained. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments.

Date received: April 1, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cald-14.