Research Article

Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation

Table 3

Comparison between absolute errors of ADM, VIM, and HPM for 𝑡 = 0 . 1 , 𝑐 = 3 .

𝑥 𝐴 e x a c t - 𝐴 A D M [49] 𝐴 e x a c t - 𝐴 V I M [50] 𝐴 e x a c t - 𝐴 H P M

−10 1 . 4 2 1 0 9 𝐸 1 4 0 1 . 5 9 3 0 0 𝐸 1 5
−8 1 . 4 0 9 4 1 𝐸 1 1 0 1 . 6 2 5 9 3 𝐸 1 2
−6 1 . 4 3 8 4 2 𝐸 8 5 𝐸 0 9 1 . 6 5 9 5 2 𝐸 9
−4 0.0000146727 4 . 5 2 7 𝐸 0 6 1 . 6 9 3 7 9 𝐸 6
−2 0.0064218 4 . 5 9 2 3 9 𝐸 0 3 0.001716375
−1 0.094494 0.043767689
0 3.71367 6 . 8 3 7 4 𝐸 0 1 0.126259125