Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space

Allaberen Ashyralyev; Mehmet Emir Koksal

doi:10.1155/2007/57491

Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space

Allaberen Ashyralyev, Mehmet Emir Koksal

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

The initial-value problem for hyperbolic equation d²u(t)/ dt² + A(t)u(t) = f(t) (0 ≤ t ≤ T), u(0) = ψ, u′ (0) = Ψ in a Hilbert space H with the self-adjoint positive definite operators A(t) is considered. The second order of accuracy difference scheme for the approximately solving this initial-value problem is presented. The stability estimates for the solution of this difference scheme are established.

Original language	English
Article number	57491
Journal	Discrete Dynamics in Nature and Society
Volume	2007
Issue number	1
DOIs	https://doi.org/10.1155/2007/57491
Publication status	Published - 2007

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Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space

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