doi:10.1016/j.camwa.2005.01.028
Copyright © 2005 Published by Elsevier Ltd.
Stability of difference schemes for hyperbolic-parabolic equations*
A. Ashyralyev
, 1, 2,
and Y. Ozdemir3, 4
1Department of Mathematics, Fatih University, Istanbul, Turkey
2Department of Mathematics, International Turkmen-Turkish University Ashgabat, Turkmenistan
3Department of Mathematics, Fatih University, Istanbul, Turkey
4Department of Mathematics, GIHT, Kocaeli, Turkey
Accepted 1 January 2005.
Available online 7 December 2005.
References and further reading may be available for this article. To view references and further reading you must
purchase this article.
Abstract
The stable difference schemes approximately solving the nonlocal boundary value problem for hyperbolic-parabolic equation
in a Hilbert space
H with self-adjoint positive definite operator
A are presented. The stability estimates for the solutions of the difference schemes of the mixed type boundary value problems for hyperbolic-parabolic equations are obtained. The theoretical statements for the solution of these difference schemes for hyperbolic-parabolic equation are supported by the results of numerical experiments.
Keywords: Hyperbolic-parabolic equation; Difference schemes; Stability