Homotopy Analysis Method for the Time-Fractional Boussinesq Equation

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Universal Journal of Mathematics and Applications
Volume: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 : 41 | Download : 15

Publication Date : 2020-03-25

Article Type : Research Paper

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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