Research Article Stability of a Second Order of Accuracy Difference Scheme for Hyperbolic Equation in a Hilbert Space
نویسندگان
چکیده
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 presented. The stability estimates for the solution of this difference scheme are established.
منابع مشابه
An operator-difference scheme for abstract Cauchy problems
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