A stabilizer-free weak Galerkin finite element method to variable-order time fractional diffusion equation in multiple space dimensions

被引：0
|
作者：
Ma, Jie [1 ]
Gao, Fuzheng [1 ]
Du, Ning [1 ,2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 39卷 / 03期
基金：
中国国家自然科学基金;
关键词：
error estimate; fast algorithm; stabilizer-free weak Galerkin finite element method; variable-order Caputo time-fractional diffusion equation; NUMERICAL APPROXIMATION; ANOMALOUS DIFFUSION; ACCURACY; SCHEMES;
D O I：
10.1002/num.22959
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a fully-discrete stabilizer-free weak Galerkin (SFWG) finite element method for the initial-boundary value problem of variable-order Caputo time-fractional diffusion equation. Optimal convergence order in L2$$ {L}_2 $$ norm for L1$$ L1 $$ fully-discrete SFWG scheme is obtained. Furthermore, we develop a fast evaluation algorithm to improve the computational efficiency. Numerical experiments are performed to verify theoretical results.
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页码：2096 / 2114
页数：19
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