• Title of article

    Wavelet operational matrix method for solving the Riccati differential equation

  • Author/Authors

    Li، نويسنده , , Yuanlu and Sun، نويسنده , , Ning and Zheng، نويسنده , , Bochao and Wang، نويسنده , , Qi and Zhang، نويسنده , , Yingchao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2014
  • Pages
    11
  • From page
    483
  • To page
    493
  • Abstract
    A Haar wavelet operational matrix method (HWOMM) was derived to solve the Riccati differential equations. As a result, the computation of the nonlinear term was simplified by using the Block pulse function to expand the Haar wavelet one. The proposed method can be used to solve not only the classical Riccati differential equations but also the fractional ones. The capability and the simplicity of the proposed method was demonstrated by some examples and comparison with other methods.
  • Keywords
    fractional calculus , Riccati equation , Haar wavelet , Operational Matrix
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2014
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1538282