• DocumentCode
    3111838
  • Title

    A modified method for fractional numerical differentiation

  • Author

    Qian, Ailin ; Li, Yan

  • Author_Institution
    Dept. of Math. & Stat., Xianning Univ., Xianning, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    We consider an ill-posed problem-fractional numerical differentiation with a new method. We propose a modified method to compute fractional numerical derivatives. The convergence estimate under an appropriate choice of regularization parameter is obtained. A numerical implementation is described. Numerical example show that the proposed method is effective and stable.
  • Keywords
    differentiation; fractional numerical differentiation; ill-posed problem; regularization parameter; Approximation methods; Fourier transforms; Heating; Kernel; Laplace equations; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765197
  • Filename
    5765197