Numerical approaches for solution of hyperbolic difference equations on circle

IF 0.7 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-01-03 DOI:10.1515/gmj-2023-2103

Allaberen Ashyralyev, Fatih Hezenci, Yasar Sozen

引用次数: 0

Abstract

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T 1

\mathbb{T}^{1}

. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.

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圆上双曲差分方程的数值求解方法

本文研究了圆 T 1 \mathbb{T}^{1} 上双曲方程的非局部边界值问题。本文提出了用于圆上双曲方程非局部边界值问题数值求解的一阶修正差分方案。建立了差分方案解在各种赫尔德规范下的稳定性和矫顽力估计。此外，还提供了数值示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.