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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 12-18 |
| Number of pages | 7 |
| Journal | Universal Journal of Mathematics and Applications |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2020 |
Keywords
- Homotopy analysis method
- time-fractional Boussinesq equation
ASJC Scopus subject areas
- Applied Mathematics