On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self‐Adjoint Operator

Allaberen Ashyralyev and Ozgur Yildirim

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self‐adjoint positive definite operator A. Stability estimates for solution of the difference scheme are established. In practice, one‐dimensional hyperbolic equation with nonlocal boundary conditions is considered.

Date: 2013
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https://doi.org/10.1155/2013/959216

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:959216

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