大区间内时间分数扩散和次扩散方程的谱法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-02-07 DOI:10.3846/mma.2022.13579

Haniye Dehestani, Y. Ordokhani, M. Razzaghi

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引用次数: 0

摘要

本文主要研究一类时间分数扩散方程和次扩散方程。为了解决上述问题，我们构造了二维genochi -分数阶lagerre函数(g - flf)。然后，利用伪运算矩阵将所提出的方程转化为代数方程组。伪运算矩阵的性质在数值技术过程中得到了很好的体现，并产生了高精度的近似解。最后，通过算例说明了该方法的准确性和有效性。

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 spectral Approach for Time-fractional diffusion and subdiffusion equations in a Large interval

In this paper, we concentrate on a class of time-fractional diffusion and subdiffusion equations. To solve the mentioned problems, we construct twodimensional Genocchi-fractional Laguerre functions (G-FLFs). Then, the pseudooperational matrices are used to convert the proposed equations to systems of algebraic equations. The properties of pseudo-operational matrices have reflected well in the process of the numerical technique and create an approximate solution with high precision. Finally, several examples are presented to illustrate the accuracy and effectiveness of the technique.

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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.