Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel

被引：29
|
作者：
Chen, Hu [1 ]
Lu, Shujuan [1 ]
Chen, Wenping [1 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 09期
关键词：
Fractional diffusion-wave equation; Fully discrete spectral method; Alternating direction implicit method; Semi-infinite channel; Error analysis; FINITE-DIFFERENCE APPROXIMATIONS; DISCONTINUOUS GALERKIN METHOD; ELEMENT-METHOD; CALCULUS; SPACE; SCHEME;
D O I：
10.1016/j.camwa.2016.02.024
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 approximation of the time fractional diffusion-wave equation in a semi-infinite channel. The time fractional derivative is described in Caputo sense with order gamma (1 < gamma < 2). A fully discrete spectral scheme based on a finite difference method in the time direction and a Laguerre-Legendre spectral method in the space direction is proposed. We also propose an alternating direction implicit (ADI) spectral scheme in order to reduce the amount of computation. The stability and convergence of both schemes are rigorously established. Numerical results are presented to support our theoretical analysis. (C) 2016 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页码：1818 / 1830
页数：13
相关论文
共 50 条
  • [1] Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain
    Zhang, Hui
    Liu, Fawang
    Jiang, Xiaoyun
    Turner, Ian
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 399
  • [2] Backward problems in time for fractional diffusion-wave equation
    Floridia, G.
    Yamamoto, M.
    INVERSE PROBLEMS, 2020, 36 (12)
  • [3] Spectral method for the fractional diffusion-wave equation with variable coefficients
    Chen, Wenping
    Lu, Shujuan
    Chen, Hu
    Liu, Haiyu
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 7827 - 7832
  • [4] Wavelets method for the time fractional diffusion-wave equation
    Heydari, M. H.
    Hooshmandasl, M. R.
    Ghaini, F. M. Maalek
    Cattani, C.
    PHYSICS LETTERS A, 2015, 379 (03) : 71 - 76
  • [5] Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis
    Yang, Yin
    Chen, Yanping
    Huang, Yunqing
    Wei, Huayi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) : 1218 - 1232
  • [6] First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval
    Guo, Gang
    Chen, Bin
    Zhao, Xinjun
    Zhao, Fang
    Wang, Quanmin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 279 - 290
  • [7] OSCILLATION OF TIME FRACTIONAL VECTOR DIFFUSION-WAVE EQUATION WITH FRACTIONAL DAMPING
    Ramesh, R.
    Harikrishnan, S.
    Nieto, J. J.
    Prakash, P.
    OPUSCULA MATHEMATICA, 2020, 40 (02) : 291 - 305
  • [8] Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder
    Yuriy Povstenko
    Fractional Calculus and Applied Analysis, 2011, 14 : 418 - 435
  • [9] CONTINUITY WITH RESPECT TO FRACTIONAL ORDER OF THE TIME FRACTIONAL DIFFUSION-WAVE EQUATION
    Nguyen Huy Tuan
    O'Regan, Donal
    Tran Bao Ngoc
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2020, 9 (03): : 773 - 793
  • [10] NON-AXISYMMETRIC SOLUTIONS TO TIME-FRACTIONAL DIFFUSION-WAVE EQUATION IN AN INFINITE CYLINDER
    Povstenko, Yuriy
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (03) : 418 - 435
12345