Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation

被引：18
|
作者：
An, Na [1 ]
Huang, Chaobao [2 ]
Yu, Xijun [3 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Beijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing 100193, Peoples R China
[3] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 349卷
关键词：
Fractional diffusion-wave equation; Direct discontinuous Galerkin method; Stability; Error estimation; FINITE-ELEMENT-METHOD; SCHEMES;
D O I：
10.1016/j.amc.2018.12.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the finite difference scheme in temporal and the direct discontinuous Galerkin (DDG) method in spatial, a fully discrete DDG scheme is first proposed to solve the two-dimensional fractional diffusion-wave equation with Caputo derivative of order 1 < alpha < 2. The proposed scheme is unconditional stable, and the spatial global convergence and the temporal convergence order of O(Delta + h(k+1)) is derived in L-2 norm with P-k polynomial. Numerical experiments are presented to demonstrate the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：148 / 157
页数：10
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