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, 1-13

Abstract:

The nonlocal boundary value problem for hyperbolic-elliptic equation d 2 u ( t ) / d t 2 + A u ( t ) = f ( t ) , ( 0 ≤ t ≤ 1 ) , − d 2 u ( t ) / d t 2 + A u ( 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:014816

DOI: 10.1155/AAA/2006/14816

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