A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile immobile advection-diffusion equations

被引：73

作者：

Chen, Chuanjun ^{[1
]}

Liu, Huan ^{[2
]}

Zheng, Xiangcheng ^{[3
]}

Wang, Hong ^{[3
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[3] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 79卷 / 09期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Two-grid method; Modified method of characteristics; Time fractional differential equation; Variable order; Error estimates; DIFFERENCE METHOD; NUMERICAL-METHODS; SOLUTE TRANSPORT; GALERKIN METHOD; VOLUME METHOD; DISPERSION; SCHEME; APPROXIMATION;

D O I：

10.1016/j.camwa.2019.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully discrete two-grid modified method of characteristics (MMOC) scheme is proposed for nonlinear variable-order time-fractional advection-diffusion equations in two space dimensions. The MMOC is used to handle the advection-dominated transport and the two-grid method is designed for efficiently solving the resulting nonlinear system. Optimal L-2 error estimates are derived for both the MMOC scheme and the corresponding two-grid MMOC scheme. Numerical experiments are presented to demonstrate the accuracy and the efficiency of the proposed method. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：2771 / 2783

页数：13

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