On Time Fractional Modifed Camassa-Holm and Degasperis-Procesi Equations by Using the Haar Wavelet Iteration Method

Authors

  • Gh. Ahmadnezhad Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
  • N. Aghazadeh Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
  • Sh. Rezapour Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Abstract:

The Haar wavelet collocation with iteration technique is applied for solving a class of time-fractional physical equations. The approximate solutions obtained by two dimensional Haar wavelet with iteration technique are compared with those obtained by analytical methods such as Adomian decomposition method (ADM) and variational iteration method (VIM). The results show that the present scheme is effective and appropriate for obtaining the numerical solution of the timefractional Modified Camassa-Holm equation and Time fractional Modified Degasperis-Procesi equation.  

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Journal title

volume 18  issue 1

pages  55- 71

publication date 2023-04

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