Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method

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成果类型：

期刊论文

作者：

Li, Jun-Feng;Ahmad, Imtiaz;Ahmad, Hijaz;Shah, Dawood;Chu, Yu-Ming*;...

通讯作者：

Chu, Yu-Ming

作者机构：

[Li, Jun-Feng] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China.

[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

[Chu, Yu-Ming] Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

[Ahmad, Imtiaz] Univ Swabi, Dept Math, Khyber Pakhtunkhwa, Pakistan.

[Ahmad, Hijaz] Univ Engn & Technol Peshawar, Dept Basic Sci, Peshawar, Pakistan.

通讯机构：

[Chu, Yu-Ming] H

[Chu, Yu-Ming] U

Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

语种：

英文

关键词：

meshless method;radial basis function;Caputo derivative;irregular domain

期刊：

Open Physics

ISSN：

2391-5471

年：

2020

卷：

期：

页码：

1063-1072

DOI：

10.1515/phys-2020-0222

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]

机构署名：

本校为第一机构

摘要：

Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term PDE results. This research includes the numerical solutions of two-term time-fractional PDE models using an efficient and accurate local meshless method. Due to the advantages of the meshless nature and ease of applicability in higher dimensions, the demand for meshless techniques is increasing. This approach approximates the solution on a unifor...

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Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method

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