Weak Galerkin finite element method for a class of time fractional generalized Burgers' equation

被引：13
|
作者：
Wang, Haifeng [1 ]
Xu, Da [1 ]
Zhou, Jun [1 ]
Guo, Jing [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Hunan, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 37卷 / 01期
基金：
美国国家科学基金会;
关键词：
optimal error estimate; stability; time fractional generalized Burgers' equation; weak Galerkin finite element scheme; DIFFERENCE SCHEME;
D O I：
10.1002/num.22549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we use the weak Galerkin (WG) finite element method to study a class of time fractional generalized Burgers' equation. The existence of numerical solutions and the stability of fully discrete scheme are proved. Meanwhile, by applying the energy method, an optimal order error estimate in discreteL(2)norm is established. Numerical experiments are presented to validate the theoretical analysis.
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页码：732 / 749
页数：18
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