On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2015
- Doi Number: 10.1155/2015/121437
- Journal Name: DISCRETE DYNAMICS IN NATURE AND SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
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.