- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 1
- Homotopy Analysis Method for the Time-Fractional Boussinesq Equation
Homotopy Analysis Method for the Time-Fractional Boussinesq Equation
Authors : He Yang
Pages : 12-18
Doi:10.32323/ujma.634491
View : 11 | Download : 5
Publication Date : 2020-03-25
Article Type : Research
Abstract :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.Keywords : Homotopy analysis method, time-fractional Boussinesq equation