International Journal of Differential Equations

Research Article

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

Table 1

Comparison between absolute errors of ADM, VIM, and HPM for 𝑡 = 0 . 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 4 . 4 4 0 8 9 𝐸 − 1 6 0 0
−8 2 . 2 4 2 6 5 𝐸 − 1 3 0 2 . 4 𝐸 − 1 8
−6 2 . 2 9 7 5 4 𝐸 − 1 0 0 2 . 1 0 5 9 𝐸 − 1 5
−4 2 . 3 4 4 9 8 𝐸 − 7 0 2 . 1 4 9 1 8 𝐸 − 1 2
−2 0.000236656 0 2 . 1 7 2 2 9 𝐸 − 9
−1 0.00523834 0 5 . 1 0 3 0 2 𝐸 − 8
0 5 . 2 4 7 9 𝐸 − 8 0 1 . 4 5 7 9 7 𝐸 − 9