Homotopy analysis method for the time-fractional Boussinesq equation

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In this paper, the exact and approximate analytical solutions to the time-fractional Boussinesq equation are constructed using the homotopy analysis method. Several examples about the fourth-order and sixth-order time-fractional Boussinesq equations show the flexibility and efficiency of the method. Furthermore, by choosing an appropriate value for the auxiliary parameter h, we can obtain the N-term approximate solution with improved accuracy.
Original languageEnglish (US)
Pages (from-to)12-18
Number of pages7
JournalUniversal Journal of Mathematics and Applications
Issue number1
StatePublished - Mar 2020


  • Homotopy analysis method
  • time-fractional Boussinesq equation

ASJC Scopus subject areas

  • Applied Mathematics


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