The solution of the Bagley-Torvik equation by using second kind Chebyshev wavelet

被引:7
|
作者
Setia, Amit [1 ]
Liu, Yucheng [1 ]
Vatsala, A. S. [2 ]
机构
[1] Univ Louisiana Lafayette, Dept Mech Engn, Lafayette, LA 70503 USA
[2] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA
关键词
Bagley-Torvik equation; fractional differential equation; Chebyshev wavelet; Chebyshev polynomial; weight function; NUMERICAL-SOLUTION; FLUID;
D O I
10.1109/ITNG.2014.68
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper a numerical method is developed to solve the Bagley-Torvik equation. The Bagley-Torvik equation is a fractional differential equation which occurs quite frequently in various branches of Applied Mathematics and Mechanics. The solution to this equation is proposed by using second kind Chebyshev wavelet. It finally reduces the equation in to the system of linear equations which can be easily solved. Examples are illustrated to demonstrate simplicity of proposed method. Results are also compared with those present in literature.
引用
收藏
页码:443 / 446
页数:4
相关论文
共 50 条
  • [1] Numerical solution of the Bagley-Torvik equation using shifted Chebyshev operational matrix
    Ji, Tianfu
    Hou, Jianhua
    Yang, Changqing
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [2] Numerical solution of the Bagley-Torvik equation
    Diethelm, K
    Ford, NJ
    BIT NUMERICAL MATHEMATICS, 2002, 42 (03) : 490 - 507
  • [3] Numerical Solution of the Bagley-Torvik Equation
    K. Diethelm
    J. Ford
    BIT Numerical Mathematics, 2002, 42 (3) : 490 - 507
  • [4] On the Bagley-Torvik Equation
    Atanackovic, T. M.
    Zorica, D.
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2013, 80 (04):
  • [5] A Wavelet Method for Solving Bagley-Torvik Equation
    Wang, Xiaomin
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2014, 102 (02): : 169 - 182
  • [6] Analytical solution of the generalized Bagley-Torvik equation
    Pang, Denghao
    Jiang, Wei
    Du, Jun
    Niazi, Azmat Ullah Khan
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [7] Analytical Solution of General Bagley-Torvik Equation
    Labecca, William
    Guimaraes, Osvaldo
    Piqueira, Jose Roberto C.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [8] An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation
    H. M. Srivastava
    F. A. Shah
    R. Abass
    Russian Journal of Mathematical Physics, 2019, 26 : 77 - 93
  • [9] An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation
    Srivastava, H. M.
    Shah, F. A.
    Abass, R.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2019, 26 (01) : 77 - 93
  • [10] The numerical solution to the Bagley-Torvik equation by exponential integrators
    Esmaeili, S.
    SCIENTIA IRANICA, 2017, 24 (06) : 2941 - 2951