Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains

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成果类型：

期刊论文

作者：

Liu, Fawang*;Feng, Libo;Vo Anh;Li, Jing

通讯作者：

Liu, Fawang

作者机构：

[Liu, Fawang; Feng, Libo] Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia.

[Liu, Fawang] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China.

[Vo Anh] Swinburne Univ Technol, Fac Sci Engn & Technol, POB 218, Hawthorn, Vic 3122, Australia.

[Li, Jing] Changsha Univ Sci & Technol, Sch Math Sci, Changsha 410114, Hunan, Peoples R China.

通讯机构：

[Liu, Fawang] Q

Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia.

语种：

英文

关键词：

Multi-term time-space fractional;Bloch-Torrey equations;Riesz fractional operator;Unstructured mesh;Irregular domains;Galerkin finite element method

期刊：

Computers & Mathematics with Applications

ISSN：

0898-1221

年：

2019

卷：

期：

页码：

1637-1650

DOI：

10.1016/j.camwa.2019.01.007

基金类别：

Author Liu wishes to acknowledge that this research was partially supported by the Australian Research Council (ARC) via the Discovery Projects (( DP180103858 , ( DP190101889 ) and National Natural Science Foundation of China (Grant No. 11772046 ). Author Feng wishes to acknowledge that this research was partially supported by the National Natural Science Foundation of China (Grant No. 11801060 ). Author Li wishes to acknowledge that this research was partially supported by Hunan Provincial Natural Science Foundation of China (Grant No. 2018JJ3519 ) and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, China .

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

Models based on partial differential equations containing time–space fractional derivatives have attracted considerable interest in the past decade because of their ability to model anomalous transport phenomena. These phenomena are strongly connected to the interactions within complex and non-homogeneous media exhibiting spatial heterogeneity. The class of equations with multi-term time–space derivatives of fractional orders has been found to be very useful in the description of such interactions. This motivates the extension of the classica...

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Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains

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