具有Neumann边界条件的双曲型问题的稳定高阶差分格式

IF 2.2 Q1 MATHEMATICS, APPLIED

International Journal of Optimization and Control: Theories and Applications Pub Date : 2019-01-31 DOI:10.11121/IJOCTA.01.2019.00592

O. Yildirim

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引用次数: 2

摘要

本文研究了近似求解具有Neumann边界条件的双曲型方程多点非局部边值问题的三阶和四阶精度稳定差分格式。给出了这些差分格式解的稳定性估计。采用有限差分法求解。给出了误差和CPU时间的数值结果并进行了分析。

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On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions

In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed.

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来源期刊

International Journal of Optimization and Control: Theories and Applications Mathematics-Applied Mathematics

CiteScore

3.30

自引率

6.20%

发文量

审稿时长

16 weeks