Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations

被引：14
|
作者：
Wang, Haifeng [1 ]
Xu, Da [1 ]
Guo, Jing [1 ]
机构：
[1] Hunan Normal Univ, Minist Educ China, Coll Math & Stat, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2020年 / 39卷 / 02期
基金：
美国国家科学基金会;
关键词：
The time-fractional nonlinear integral differential equation; Weak Galerkin finite-element method; Stability; convergence; Numerical experiments; DIFFERENCE SCHEME; DIFFUSION;
D O I：
10.1007/s40314-020-1134-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a fully discrete scheme for one-dimensional (1D) time-fractional nonlinear integro-differential equation is established based on the weak Galerkin finite-element method. The stability and convergence of this scheme are proved. Several numerical experiments are presented to illustrate the theoretical analysis and to show the strong potential of this method.
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收藏
页数：22
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