The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations

被引：14

作者：

Kheirkhah, Farnaz ^{[1
]}

Hajipour, Mojtaba ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Sahand Univ Technol, Dept Math, Box 51335-1996, Tabriz, Iran

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

[3] Inst Space Sci, MG-23, R76900, Bucharest, Romania

来源：

APPLIED NUMERICAL MATHEMATICS | 2022年 / 178卷

关键词：

Variable-order time-fractional derivative; Grunwald formula; Compact finite difference; Reaction-subdiffusion problem; DISCONTINUOUS GALERKIN METHOD; FINITE-DIFFERENCE SCHEME; SUB-DIFFUSION; DIFFERENTIATION; APPROXIMATION; OPERATORS;

D O I：

10.1016/j.apnum.2022.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a highly accurate numerical scheme for a class of one and two-dimensional time-fractional advection-reaction-subdiffusion equations of variable order alpha(x, t) is an element of (0, 1). For the spatial and temporal discretization of the equation, a fourth order compact finite difference operator and a third-order weighted-shifted Grunwald formula are applied, respectively. The stability and convergence of the present scheme are addressed. Some extensive numerical experiments are performed to confirm the theoretical analysis and high-accuracy of this novel scheme. Comparisons are also made with the available schemes in the literature. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：25 / 40

页数：16

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