On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem

This paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obta...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.51-66-005
Hauptverfasser: Ashyralyev, Allaberen, Uzun, Meltem
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obtained. Some results of numerical experiments that support theoretical statements are presented.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/121437