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

被引：12
|
作者：
Yildirim, Ozgur [1 ]
Uzun, Meltem [1 ]
机构：
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 254卷
关键词：
Abstract hyperbolic equations; Stability; Difference equations; Nonlocal and multipoint BVPs; EQUATIONS;
D O I：
10.1016/j.amc.2014.12.117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：210 / 218
页数：9
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