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


Creative Commons License

Yıldırım Ö. , Uzun M.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015 (Journal Indexed in SCI) 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.