Non-uniform L1/DG method for one-dimensional time-fractional convection equation

被引：1
|
作者：
Wang, Zhen [1 ]
机构：
[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 04期
关键词：
Time-fractional convection equation; L1; scheme; Discontinuous Galerkin method; Stability and convergence; DISCONTINUOUS GALERKIN METHOD; FINITE-DIFFERENCE METHOD; ELEMENT-METHOD; ERROR ANALYSIS; SCHEME;
D O I：
10.22034/cmde.2020.41761.1805
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an efficient numerical method to solve a one-dimensional time-fractional convection equation whose solution has a certain weak regularity at the starting time, where the time-fractional derivative in the Caputo sense with order in (0, 1) is discretized by the L1 finite difference method on non-uniform meshes and the spatial derivative by the discontinuous Galerkin (DG) finite element method. The stability and convergence of the method are analyzed. Numerical experiments are provided to confirm the theoretical results.
引用
收藏
页码：1069 / 1082
页数：14
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