International Journal of Differential Equations

Research Article

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

Table 2

Comparison between absolute errors of ADM, VIM, and HPM for 𝑡 = 0 . 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 . 7 7 6 3 6 𝐸 − 1 5 0 2 . 0 0 0 0 0 𝐸 − 1 8
−8 1 . 8 6 9 6 2 𝐸 − 1 2 0 2 . 0 1 6 0 0 𝐸 − 1 5
−6 1 . 9 0 8 7 𝐸 − 9 0 2 . 0 5 7 4 4 𝐸 − 1 2
−4 1 . 9 4 8 1 1 𝐸 − 6 6 𝐸 − 0 8 2 . 0 9 9 9 3 𝐸 − 9
−2 0.00197296 6 . 0 8 8 1 𝐸 − 0 5 0.000002123
−1 0.0485679 — 0.000050433
0 0.00051592 8 . 0 8 5 4 4 𝐸 − 3 0.000014557