Stability of a Second Order of Accuracy Difference Scheme for Hyperbolic Equation in a Hilbert Space
The initial-value problem for hyperbolic equation d2u(t)/dt2+A(t)u(t)=f(t)(0≤t≤T), u(0)=ϕ,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 pre...
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Main Authors: | Allaberen Ashyralyev, Mehmet Emir Koksal |
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Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2007/57491 |
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