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


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YILDIRIM Ö., Uzun M.

Discrete Dynamics in Nature and Society, vol.2015, 2015 (SCI-Expanded) identifier identifier

Abstract

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.