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引用次数: 0
摘要
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。
Numerical approaches for solution of hyperbolic difference equations on circle
The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1\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.
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.
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