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

Table 1

The HPM results for 𝑞(𝑥,𝑦,𝑡) in comparison with the analytical solution with initial conditions (5).

𝑡	|𝑞𝑒−𝑞|
−0.6	9.861869456×10^−18
−0.4	1.073360934×10^−17
−0.2	1.161066111×10^−17
0	1.248899278×10^−17
0.2	1.336466228×10^−17
0.4	1.423383001×10^−17
0.6	1.509277063×10^−17