关于Torus上抛物型差分方程稳定性的一个注记

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-03 DOI:10.1080/01630563.2023.2183509

A. Ashyralyev, F. Hezenci, Y. Sozen

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引用次数: 0

摘要

摘要本文研究了环面上反型抛物型方程的非局部边值问题。给出了圆和环面上抛物型方程非局部边值问题数值解的一阶精度差分格式。对于差分格式的解，建立了各种Hölder范数下的稳定性估计和矫顽力估计。此外，理论结果得到了数值实验的支持。

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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A Note on Stability of Parabolic Difference Equations on Torus

Abstract The present article investigates nonlocal boundary value problems for parabolic equations of reverse type on torus. The first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle and torus are presented. For the solutions of the difference scheme, the stability estimates and coercivity estimates in various Hölder norms are established. Furthermore, theoretical results are supported by numerical experiments.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.