非线性分数阶抛物方程的插值系数有限元误差分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.20

Yuelong Tang, Y. Hua, Y. Tang, Y. Hua

引用次数: 0

摘要

．本文研究非线性分数阶抛物型方程的完全离散逼近格式。本文的主要目的是研究插值系数有限元解的收敛性和超收敛性。给出了一些数值算例来验证我们的理论结果。

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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Error analysis of interpolated coefficient finite elements for nonlinear fractional parabolic equations

. In this paper, we consider a fully discrete approximation scheme for nonlinear fractional parabolic equations. The main aim of this paper is to investigate the convergence and superconvergence of interpolated coefﬁcient ﬁnite element solutions. Some numerical examples are presented to demonstrate our theoretical results.

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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.