A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations

被引：0
|
作者：
Baharlouei, Sh. [1 ]
Mokhtari, R. [1 ,2 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan, Iran
[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 11期
关键词：
Convergence analysis; hybridized discontinuous Galerkin method; stability analysis; time-fractional telegraph equations; APPROXIMATION;
D O I：
10.1080/01630563.2023.2236690
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the application of the hybridized discontinuous Galerkin (HDG) method to solve time-fractional telegraph equations. In fact, we use an HDG method for space discretization and L1 and L2 finite difference schemes using non-uniform meshes for time discretization. Thanks to a special kind of discrete Gronwall inequality, we prove that the HDG method is unconditionally stable and it is convergent with the optimal spatial order of convergence. Two numerical experiments are tested to confirm the theoretical results.
引用
收藏
页码：1175 / 1193
页数：19
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