Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method

Table 2

The comparison of the results of the HAM (ℎ=−1) and exact solution for the 𝑢(𝑥,𝑡), 𝛼=𝛽=1.

x	t	|∑^5𝑖=0𝑢(𝑖)−Exact|	|∑^5𝑖=0𝑣(𝑖)−Exact|
−15	0.002	8.0672×10^−8	2.4426×10^−8
−12	0.002	5.9539×10^−7	1.8038×10^−7
−6	0.002	3.0257×10^−6	1.3270×10^−6
6	0.002	3.0263×10^−6	1.3481×10^−6
12	0.002	5.9550×10^−7	1.7722×10^−7
15	0.002	8.0686×10^−8	2.3998×10^−8