Journal Article

·2015 OPEN ACCESS

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

Özgür Yıldırım YTU , Meltem Uzun YTU

Discrete Dynamics in Nature and Society

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.

Keywords

Mathematics Hilbert space Operator (biology) Scheme (mathematics) Boundary value problem Stability (learning theory) Third order Boundary (topology) Mathematical analysis Order (exchange) Space (punctuation) Applied mathematics Value (mathematics) Computer science

Subject Areas

Differential Equations and Boundary Problems ·Applied Mathematics ·Physical Sciences
Differential Equations and Numerical Methods ·Numerical Analysis ·Physical Sciences
Numerical methods for differential equations ·Numerical Analysis ·Physical Sciences

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