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

被引：0
|
作者：
Haifeng Wang
Da Xu
Jing Guo
机构：
[1] Hunan Normal University,Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Statistics
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
The time-fractional nonlinear integral differential equation; Weak Galerkin finite-element method; Stability; convergence; Numerical experiments; 65N30;
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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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