A note on the difference schemes for hyperbolic equations

A. Ashyralyev and P. E. Sobolevskii

Abstract and Applied Analysis, 2001, vol. 6, issue 2, 63-70

Abstract: The initial value problem for hyperbolic equations d 2u(t)/dt 2 + A u(t) = f(t)(0 ≤ t ≤ 1), u(0) = φ, u′(0) = ψ, in a Hilbert space H is considered. The first and second order accuracy difference schemes generated by the integer power of A approximately solving this initial value problem are presented. The stability estimates for the solution of these difference schemes are obtained.

Date: 2001
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https://doi.org/10.1155/S1085337501000501

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:6:y:2001:i:2:p:63-70

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