A note on the difference schemes for hyperbolic‐elliptic equations
A. Ashyralyev,
G. Judakova and
P. E. Sobolevskii
Abstract and Applied Analysis, 2006, vol. 2006, issue 1
Abstract:
The nonlocal boundary value problem for hyperbolic‐elliptic equation d2u(t)/dt2 + Au(t) = f(t), (0 ≤ t ≤ 1), −d2u(t)/dt2 + Au(t) = g(t), (−1 ≤ t ≤ 0), u(0) = ϕ, u(1) = u(−1) in a Hilbert space H is considered. The second order of accuracy difference schemes for approximate solutions of this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established.
Date: 2006
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https://doi.org/10.1155/AAA/2006/14816
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:014816
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