A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

被引：1
|
作者：
Mahmoud A. Zaky
机构：
[1] National Research Centre,Department of Applied Mathematics
来源：
Computational and Applied Mathematics | 2018年 / 37卷
关键词：
Spectral tau method; Multi-term time-fractional diffusion equation; Caputo fractional derivative; Convergence analysis; 65M70; 34A08; 33C45; 11B83;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, a Legendre spectral tau method is revisited to handle the multi-term time-fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence analysis are carried out using some critical theorems. The applicability and accuracy of the solution method are demonstrated by a numerical example to verify the theoretical analysis.
引用
收藏
页码：3525 / 3538
页数：13
相关论文
共 50 条
  • [21] Galerkin approximation for multi-term time-fractional differential equations
    Arifeen, Shams Ul
    Haq, Sirajul
    Ali, Ihteram
    Aldosary, Saud Fahad
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (07)
  • [22] Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives
    Al-Refai, Mohammed
    Luchko, Yuri
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 40 - 51
  • [23] Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
    Jiang, H.
    Liu, F.
    Turner, I.
    Burrage, K.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3377 - 3388
  • [24] Preconditioning techniques of all-at-once systems for multi-term time-fractional diffusion equations
    Gan, Di
    Zhang, Guo-Feng
    Liang, Zhao-Zheng
    NUMERICAL ALGORITHMS, 2024, 96 (04) : 1499 - 1531
  • [25] A transformed L 1 method for solving the multi-term time-fractional diffusion problem
    She, Mianfu
    Li, Dongfang
    Sun, Hai-wei
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 193 : 584 - 606
  • [26] Effective Modified Fractional Reduced Differential Transform Method for Solving Multi-Term Time-Fractional Wave-Diffusion Equations
    Al-rabtah, Adel
    Abuasad, Salah
    SYMMETRY-BASEL, 2023, 15 (09):
  • [27] Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation
    Liu, Yanqin
    Sun, HongGuang
    Yin, Xiuling
    Feng, Libo
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (01):
  • [28] Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior
    Liu, Yikan
    Yamamoto, Masahiro
    INVERSE PROBLEMS, 2023, 39 (02)
  • [29] Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation
    Yanqin Liu
    HongGuang Sun
    Xiuling Yin
    Libo Feng
    Zeitschrift für angewandte Mathematik und Physik, 2020, 71
  • [30] Simulation of the approximate solutions of the time-fractional multi-term wave equations
    Abdel-Rehim, E. A.
    El-Sayed, A. M. A.
    Hashem, A. S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) : 1134 - 1154
12345