The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions

Figure 1

Comparison between the exact solution, the HPM solution, and the HAM solution for 𝑞(𝑥,𝑦,𝑡).

(a)

(b)

(c)

(d)