International Journal of Differential Equations / 2011 / Article / Tab 3

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 𝑑 = 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 1 . 4 2 1 0 9 𝐸 βˆ’ 1 4 0 1 . 5 9 3 0 0 𝐸 βˆ’ 1 5
βˆ’8 1 . 4 0 9 4 1 𝐸 βˆ’ 1 1 0 1 . 6 2 5 9 3 𝐸 βˆ’ 1 2
βˆ’6 1 . 4 3 8 4 2 𝐸 βˆ’ 8 5 𝐸 βˆ’ 0 9 1 . 6 5 9 5 2 𝐸 βˆ’ 9
βˆ’4 0.0000146727 4 . 5 2 7 𝐸 βˆ’ 0 6 1 . 6 9 3 7 9 𝐸 βˆ’ 6
βˆ’2 0.0064218 4 . 5 9 2 3 9 𝐸 βˆ’ 0 3 0.001716375
βˆ’1 0.094494 β€” 0.043767689
0 3.71367 6 . 8 3 7 4 𝐸 βˆ’ 0 1 0.126259125

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