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
收藏
页码：2771 / 2783
页数：13
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