Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

被引：41

作者：

Vong, Seakweng ^{[1
]}

Wang, Zhibo ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Av Padre Tomas Pereira Taipa, Taipa, Macao, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2014年 / 6卷 / 04期

关键词：

Fourth-order fractional subdiffusion equation; compact difference scheme; energy method; stability; convergence; DIFFUSION-WAVE EQUATION; CALCULUS;

D O I：

10.4208/aamm.2014.4.s1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.

引用

页码：419 / 435

页数：17

共 50 条

[1] A compact finite difference scheme for the fourth-order fractional diffusion-wave system
Hu, Xiuling
Zhang, Luming
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (08) : 1645 - 1650
[2] A Fourth-Order Compact Finite Difference Scheme for the Goursat Problem
bin Nasir, Mohd Agos Salim
Ismail, Ahmad Izani bin Md
[J]. SAINS MALAYSIANA, 2013, 42 (03): : 341 - 346
[3] On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
Hu, Xiuling
Zhang, Luming
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5019 - 5034
[4] A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
Hu, Xiuling
Zhang, Luming
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (10) : 2215 - 2231
[5] A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows
Li M.
Tang T.
[J]. Journal of Scientific Computing, 2001, 16 (1) : 29 - 45
[6] A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation
Li, Shuguang
Wang, Jue
Luo, Yuesheng
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[7] A compact finite difference scheme for variable order subdiffusion equation
Cao, Jianxiong
Qiu, Yanan
Song, Guojie
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 140 - 149
[8] A fast compact finite difference scheme for the fourth-order diffusion-wave equation
Wang, Wan
Zhang, Haixiang
Zhou, Ziyi
Yang, Xuehua
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2024, 101 (02) : 170 - 193
[9] Robust convergence of a compact fourth-order finite difference scheme for reaction–diffusion problems
Torsten Linß
[J]. Numerische Mathematik, 2008, 111 : 239 - 249
[10] A COMPACT FOURTH-ORDER FINITE DIFFERENCE SCHEME FOR THE IMPROVED BOUSSINESQ EQUATION WITH DAMPING TERMS
Lu, Fuqiang
Song, Zhiyao
Zhang, Zhuo
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 34 (05) : 462 - 478

← 1 2 3 4 5 →