Jacobi Elliptic Numerical Solutions for the Time Fractional Dispersive Longwave Equation

نویسندگان

  • Mohamed S. Mohamed
  • Faisal Al-Malki
  • Rabeaa Talib
  • Mohamed
  • F. Al-Malki
  • R. Talib
چکیده

The fractional derivatives in the sense of Caputo, and the homotopy analysis method (HAM) are used to construct the approximate solutions for nonlinear fractional dispersive long wave equation with reaspect to time fractional derivative. The HAM contains a certain auxiliary parameter which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. AMS Subject Classification: homotopy analysis method, Caputo’s fractional derivative, fractional dispersive long wave equation

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تاریخ انتشار 2012