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Zbl 1221.65212
Ashyralyev, Allaberen; Dal, Fadime; P inar, Zehra
A note on the fractional hyperbolic differential and difference equations. (English)
[J] Appl. Math. Comput. 217, No. 9, 4654-4664 (2011). ISSN 0096-3003

The paper presents a first order difference scheme applied on an hyperbolic boundary value problem with a fractional differential equation with a self-adjoint operator $A(t)$ formulated in a Hilbert space $H$. The stability estimates for the solution of the difference scheme are shown.
[Petr Sváček (Praha)]

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
65M12 Stability and convergence of numerical methods (IVP of PDE)
35L10 Second order hyperbolic equations, general
35R11

Keywords: fractional hyperbolic equation; initial boundary value problems; difference schemes; stability

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