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

页码：148 / 157

页数：10

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