On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems

Yıldırım, Özgür; Uzun, Meltem

doi:10.1016/j.amc.2014.12.117

On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems

Atıf İçin Kopyala

Yıldırım Ö. , Uzun M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.254, ss.210-218, 2015 (SCI İndekslerine Giren Dergi)

Cilt numarası: 254
Basım Tarihi: 2015
Doi Numarası: 10.1016/j.amc.2014.12.117
Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
Sayfa Sayısı: ss.210-218

Özet

In this article, we consider third and fourth order of accuracy stable difference schemes for the approximate solutions of hyperbolic multipoint nonlocal boundary value problem in a Hilbert space H with self-adjoint positive definite operator A. We present stability estimates and numerical analysis for the solutions of the difference schemes using finite difference method. (C) 2014 Elsevier Inc. All rights reserved.