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.

引用

页码：210 / 218

页数：9

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