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.
- Homotopy analysis method
- time-fractional Boussinesq equation
ASJC Scopus subject areas
- Applied Mathematics