Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation

被引：60

作者：

Abbaszadeh, Mostafa ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, 424 Hafez Ave, Tehran 15914, Iran

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 88卷

关键词：

Finite difference method; Riesz space distributed-order diffusion equation; Unconditional stability; Convergence; TIME-FRACTIONAL DIFFUSION; ACCURATE NUMERICAL-METHOD; WAVE-EQUATIONS;

D O I：

10.1016/j.aml.2018.08.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the current paper, an error estimate has been proposed to find a secondorder finite difference scheme for solving the Riesz space distributed-order diffusion equation. The convergence order of the proposed method is O(tau(2)+ h(2)). The numerical results show the efficiency of the new technique. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：179 / 185

页数：7

共 50 条

[31] Spectral solutions for diffusion equations of Riesz distributed-order space-fractional
Abdelkawy, Mohamed A.
Al-Shomrani, Mohamed M.
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (02) : 1045 - 1054
[32] Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids
Zhao, Xuan
Li, Xiaoli
Li, Ziyan
APPLIED NUMERICAL MATHEMATICS, 2022, 174 : 34 - 45
[33] A fast second-order difference scheme for the space-time fractional equation
Xu, Weiyan
Sun, Hong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (04) : 1326 - 1342
[34] A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
Zhang, Pu
Pu, Hai
NUMERICAL ALGORITHMS, 2017, 76 (02) : 573 - 598
[35] Second-order explicit difference schemes for the space fractional advection diffusion equation
Li, Wei
Li, Can
APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 446 - 457
[36] A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
Pu Zhang
Hai Pu
Numerical Algorithms, 2017, 76 : 573 - 598
[37] DIFFERENCE SCHEME OF SOLVING CAUCHY-PROBLEM FOR A DEGENERATE HYPERBOLIC SECOND-ORDER EQUATION IN ONE SPACE VARIABLE
KOKOSHKEVICH, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (01): : 81 - 85
[38] An implicit finite difference scheme for simulating the space fractional-order riesz diffusion processes
Cai, X.
Liu, F.
Advances in Computational Methods in Sciences and Engineering 2005, Vols 4 A & 4 B, 2005, 4A-4B : 81 - 84
[39] A new and difference scheme of second-order in time and space
Wu, WY
Cai, QD
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (06) : 617 - 630
[40] Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation
Zhao, Jingjun
Zhang, Yanming
Xu, Yang
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):

← 1 2 3 4 5 →