The Space-Time Spectral Method for a Fractional Diffusion Equation

被引:0
|
作者
Huang, Yu [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
来源
PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS | 2010年
关键词
spectral method; space-time fractional derivative; fractional order diffusion equation;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the numerical solution of a fractional diffusion equation, whose derivates are replaced by the fractional derivates, making the problem global in time and space. We construct a spectral method in both temporal and spatial discretizations. And we give the convergence of the method.
引用
收藏
页码:347 / 350
页数:4
相关论文
共 50 条
  • [1] A SPACE-TIME SPECTRAL METHOD FOR THE TIME FRACTIONAL DIFFUSION EQUATION
    Li, Xianjuan
    Xu, Chuanju
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (03) : 2108 - 2131
  • [2] A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Diffusion Equation
    Sheng, Changtao
    Shen, Jie
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 11 (04) : 854 - 876
  • [3] An Efficient Space-Time Method for Time Fractional Diffusion Equation
    Shen, Jie
    Sheng, Chang-Tao
    JOURNAL OF SCIENTIFIC COMPUTING, 2019, 81 (02) : 1088 - 1110
  • [4] Space-time spectral method for the Cattaneo equation with time fractional derivative
    Li, Hui
    Jiang, Wei
    Li, Wenya
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 325 - 336
  • [5] Finite element method for space-time fractional diffusion equation
    Feng, L. B.
    Zhuang, P.
    Liu, F.
    Turner, I.
    Gu, Y. T.
    NUMERICAL ALGORITHMS, 2016, 72 (03) : 749 - 767
  • [6] Finite element method for space-time fractional diffusion equation
    L. B. Feng
    P. Zhuang
    F. Liu
    I. Turner
    Y. T. Gu
    Numerical Algorithms, 2016, 72 : 749 - 767
  • [7] Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation
    Li, Xianjuan
    Xu, Chuanju
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 8 (05) : 1016 - 1051
  • [8] Space-time pseudospectral method for the variable-order space-time fractional diffusion equation
    Gupta, Rupali
    Kumar, Sushil
    MATHEMATICAL SCIENCES, 2024, 18 (03) : 419 - 436
  • [9] Solution for a Space-time Fractional Diffusion Equation
    Liu, Qiyu
    Lv, Longjin
    PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON MODELLING, SIMULATION AND APPLIED MATHEMATICS (MSAM2017), 2017, 132 : 180 - 184