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Computers & Mathematics with Applications
Volume 50, Issues 8-9, October-November 2005, Pages 1443-1476
 
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doi:10.1016/j.camwa.2005.01.028    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Published by Elsevier Ltd.

Stability of difference schemes for hyperbolic-parabolic equations*

A. AshyralyevCorresponding Author Contact Information, 1, 2, E-mail The Corresponding Author 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.

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Abstract

The stable difference schemes approximately solving the nonlocal boundary value problem for hyperbolic-parabolic equation

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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


Computers & Mathematics with Applications
Volume 50, Issues 8-9, October-November 2005, Pages 1443-1476
 
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