输电线路建模中时间-分数电报方程的数值研究

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-01 DOI:10.4208/eajam.070921.150222

Wang Kong, Zhongyi Huang

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引用次数: 0

摘要

．证明了传输线建模中出现的时间分数电报方程解的稳定性和唯一性。然后用有限差分格式求解相应的初始边界问题。证明了该方案是无条件稳定和收敛的。将该方法转化为两个有限体积格式来求解两个不耦合的时间分数对流方程，可以提高计算效率。数值实验验证了理论结果，并证明了该方法对于解在初始时刻不光滑的问题的有效性。

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Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling

. The stability and uniqueness of the solutions of time-fractional telegraph equations arising in the transmission line modeling are proved. The corresponding initial-boundary problems are then solved by a ﬁnite difference scheme. It is shown that the scheme is unconditionally stable and convergent. Computational efﬁciency of the method can be enhanced by transforming it into two ﬁnite volume schemes for solving two uncoupled time-fractional convection equations. Numerical experiments validate the theoretical results and show the efﬁciency of this approach even for the problems the solutions which are not smooth at the initial moment.

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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.