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
收藏
页码：179 / 185
页数：7
相关论文
共 50 条
  • [1] FAST SECOND-ORDER ACCURATE DIFFERENCE SCHEMES FOR TIME DISTRIBUTED-ORDER AND RIESZ SPACE FRACTIONAL DIFFUSION EQUATIONS
    Jian, Huanyan
    Huang, Tingzhu
    Zhao, Xile
    Zhao, Yongliang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (04): : 1359 - 1392
  • [2] A novel finite volume method for the Riesz space distributed-order diffusion equation
    Li, J.
    Liu, F.
    Feng, L.
    Turner, I.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (04) : 772 - 783
  • [3] Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
    Jian, Huan-Yan
    Huang, Ting-Zhu
    Gu, Xian-Ming
    Zhao, Xi-Le
    Zhao, Yong-Liang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 94 : 136 - 154
  • [4] Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
    Jian, Huan-Yan
    Huang, Ting-Zhu
    Gu, Xian-Ming
    Zhao, Xi-Le
    Zhao, Yong-Liang
    Computers and Mathematics with Applications, 2021, 94 : 136 - 154
  • [5] A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
    Li, J.
    Liu, F.
    Feng, L.
    Turner, I.
    APPLIED MATHEMATICAL MODELLING, 2017, 46 : 536 - 553
  • [6] THE WEIGHTED ERROR ESTIMATE OF THE FINITE-DIFFERENCE SCHEME FOR A SECOND-ORDER PARTIAL DIFFERENTIAL EQUATION WITH A MIXED DERIVATIVE
    Mayko, N. V.
    Ryabichev, V. L.
    JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS, 2021, 3 (137): : 99 - 112
  • [7] A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation
    Chen, Xuejuan
    Chen, Jinghua
    Liu, Fawang
    Sun, Zhi-zhong
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (02) : 1266 - 1286
  • [8] A second-order difference scheme for two-dimensional two-sided space distributed-order fractional diffusion equations with variable coefficients
    Yifei Wang
    Jin Huang
    Hu Li
    Journal of Applied Mathematics and Computing, 2024, 70 : 1 - 26
  • [9] A second-order difference scheme for two-dimensional two-sided space distributed-order fractional diffusion equations with variable coefficients
    Wang, Yifei
    Huang, Jin
    Li, Hu
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (01) : 1 - 26
  • [10] Finite difference method for the Riesz space distributed-order advection-diffusion equation with delay in 2D: convergence and stability
    Heris, Mahdi Saedshoar
    Javidi, Mohammad
    JOURNAL OF SUPERCOMPUTING, 2024, 80 (12): : 16887 - 16917
12345