International Journal of Differential Equations / 2011 / Article / Tab 1

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 𝑑 = 0 . 0 0 1 , 𝑐 = 3 .

π‘₯ 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

βˆ’10 4 . 4 4 0 8 9 𝐸 βˆ’ 1 6 0 0
βˆ’8 2 . 2 4 2 6 5 𝐸 βˆ’ 1 3 0 2 . 4 𝐸 βˆ’ 1 8
βˆ’6 2 . 2 9 7 5 4 𝐸 βˆ’ 1 0 0 2 . 1 0 5 9 𝐸 βˆ’ 1 5
βˆ’4 2 . 3 4 4 9 8 𝐸 βˆ’ 7 0 2 . 1 4 9 1 8 𝐸 βˆ’ 1 2
βˆ’2 0.000236656 0 2 . 1 7 2 2 9 𝐸 βˆ’ 9
βˆ’1 0.00523834 0 5 . 1 0 3 0 2 𝐸 βˆ’ 8
0 5 . 2 4 7 9 𝐸 βˆ’ 8 0 1 . 4 5 7 9 7 𝐸 βˆ’ 9

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