求解耦合分数薛定谔-布西尼斯克系统的保守差分方案

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-14 DOI:10.3390/axioms13060400

Yao Shi, Rian Yan, Tao Liu

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引用次数: 0

摘要

本文构建了一种计算空间分数耦合薛定谔-布西尼斯克系统的高精度保守隐式算法。同时，介绍了数值解的保守性、先验有界性和可求解性。然后，利用离散能量法证明了所提出的算法在时间上具有二阶收敛性，在空间上具有四阶收敛性。最后，一些数值实验验证了保守算法的有效性，并证实了不同分数阶数 α 选择下理论结果的准确性。

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 Conservative Difference Scheme for Solving the Coupled Fractional Schrödinger–Boussinesq System

In this paper, a high-accuracy conservative implicit algorithm for computing the space fractional coupled Schrödinger–Boussinesq system is constructed. Meanwhile, the conservative nature, a priori boundedness, and solvability of the numerical solution are presented. Then, the proposed algorithm is proved to be second-order convergence in temporal and fourth-order spatial convergence using the discrete energy method. Finally, some numerical experiments validate the effectiveness of the conservative algorithm and confirm the accuracy of the theoretical results for different choices of the fractional-order α.

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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.