两类空间域中三维可变阶时间分数偏微分方程的精确数值方案

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-14 DOI:10.3846/mma.2024.18535

Haniye Dehestani, Y. Ordokhani, M. Razzaghi

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引用次数: 0

摘要

我们考虑了求解三维变阶（3D-VO）时间分数偏微分方程的离散化方法。所提出的方法基于离散移位哈恩多项式（DSHPs）及其运算矩阵。在方法实施过程中，积分的修正运算矩阵（MOM）和补矢量（CV）以及 VO 分数导数的伪运算矩阵（POM）对方法的精度起着重要作用。此外，我们还讨论了近似解的误差。最后，我们通过两类空间域中的测试实例对该方法进行了验证。为了评估该方法的准确性和适用性，我们将结果与其他方法进行了比较。

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AN ACCURATE NUMERICAL SCHEME FOR THREE-DIMENSIONAL VARIABLE-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN TWO TYPES OF SPACE DOMAINS

We consider the discretization method for solving three-dimensional variable-order (3D-VO) time-fractional partial differential equations. The proposed method is developed based on discrete shifted Hahn polynomials (DSHPs) and their operational matrices. In the process of method implementation, the modified operational matrix (MOM) and complement vector (CV) of integration and pseudooperational matrix (POM) of VO fractional derivative plays an important role in the accuracy of the method. Further, we discuss the error of the approximate solution. At last, the methodology is validated by well test examples in two types of space domains. In order to evaluate the accuracy and applicability of the approach, the results are compared with other methods.

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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.