Homotopy Analysis Method for the Time-Fractional Boussinesq Equation

Year 2020, Volume: 3 Issue: 1, 12 - 18, 25.03.2020

He Yang

https://doi.org/10.32323/ujma.634491

Cited By: 3

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

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