Finite difference method for time-fractional Klein-Gordon equation on an unbounded domain using artificial boundary conditions

被引：7
|
作者：
Ding, Peng [1 ]
Yan, Yubin [2 ]
Liang, Zongqi [1 ]
Yan, Yuyuan [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Univ Chester, Dept Math & Phys Sci, Chester CH1 4BJ, England
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 205卷
关键词：
Time-fractional Klein-Gordon equation; Artificial boundary conditions; The generalized Caputo derivative; Stability; Convergence; SUB-DIFFUSION EQUATIONS; SPECTRAL METHOD; SCHEME; APPROXIMATE;
D O I：
10.1016/j.matcom.2022.10.030
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A finite difference method for time-fractional Klein-Gordon equation with the fractional order alpha E (1, 2] on an unbounded domain is studied. The artificial boundary conditions involving the generalized Caputo derivative are derived using the Laplace transform technique. Stability and error estimates of the proposed finite difference scheme are proved in detail by using the discrete energy method. Numerical examples show that the artificial boundary method is a robust and efficient method for solving the time-fractional Klein-Gordon equation on an unbounded domain. (c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：902 / 925
页数：24
相关论文
共 50 条
  • [1] A finite difference method for Burgers' equation in the unbounded domain using artificial boundary conditions
    Zheng, Quan
    Liu, Yufeng
    Fan, Lei
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (01) : 140 - 150
  • [2] An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain
    Han, Houde
    Zhang, Zhiwen
    [J]. APPLIED NUMERICAL MATHEMATICS, 2009, 59 (07) : 1568 - 1583
  • [3] Analytical study of time-fractional order Klein-Gordon equation
    Tamsir, Mohammad
    Srivastava, Vineet K.
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (01) : 561 - 567
  • [4] Nonlinear dynamical analysis of a time-fractional Klein-Gordon equation
    El-Dib, Yusry O.
    Elgazery, Nasser S.
    Mady, Amal A.
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2021, 95 (04):
  • [5] Numerical Solution of Time-Fractional Klein-Gordon Equation by Using the Decomposition Methods
    Jafari, Hossein
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (04):
  • [6] Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
    Brunner, Hermann
    Han, Houde
    Yin, Dongsheng
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 276 : 541 - 562
  • [7] Time-Fractional Klein-Gordon Equation with Solitary/Shock Waves Solutions
    Saifullah, Sayed
    Ali, Amir
    Irfan, Muhammad
    Shah, Kamal
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [8] Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications
    Kashyap, Manju
    Singh, S. Pratap
    Gupta, Surbhi
    Mehta, Purnima Lala
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES, 2023, 8 (03) : 537 - 546
  • [9] The Investigation of Exact Solutions of Nonlinear Time-Fractional Klein-Gordon Equation by Using Generalized Kudryashov Method
    Demiray, Seyma Tuluce
    Pandir, Yusuf
    Bulut, Hasan
    [J]. 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 : 283 - 289
  • [10] The Klein-Gordon Equation in a Domain with Time-Dependent Boundary
    Pelloni, B.
    Pinotsis, D. A.
    [J]. STUDIES IN APPLIED MATHEMATICS, 2008, 121 (03) : 291 - 312
12345