Local meshless collocation scheme for numerical simulation of space fractional PDE

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.2298/tsci23s1101s

M. Shakeel, M. Khan, I. Ahmad, H. Ahmad, Nantapat Jarasthitikulchai, W. Sudsutad

引用次数: 7

Abstract

In this work, numerical solution of multi term space fractional PDE is calculated by using radial basis functions. The fractional derivatives of radial basis functions are evaluated by Caputo and Riemann-Liouville definitions. Local radial basis functions are applied to get stable and accurate solution the problem. Accuracy of the method is assessed by using double mesh procedure. Numerical solutions are presented for different fractional orders to show the effect of introducing fractionality.

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空间分数阶偏微分方程数值模拟的局部无网格配置方案

本文利用径向基函数计算了多项空间分数阶偏微分方程的数值解。用Caputo和Riemann-Liouville定义计算径向基函数的分数阶导数。利用局部径向基函数得到稳定、准确的解。采用双网格法对方法的精度进行了评价。给出了不同分数阶的数值解，以说明引入分数阶的效果。

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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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.