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.

引用

页数：22

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