International Journal of Differential Equations / 2011 / Article / Tab 2

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 𝑑 = 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 1 . 7 7 6 3 6 𝐸 βˆ’ 1 5 0 2 . 0 0 0 0 0 𝐸 βˆ’ 1 8
βˆ’8 1 . 8 6 9 6 2 𝐸 βˆ’ 1 2 0 2 . 0 1 6 0 0 𝐸 βˆ’ 1 5
βˆ’6 1 . 9 0 8 7 𝐸 βˆ’ 9 0 2 . 0 5 7 4 4 𝐸 βˆ’ 1 2
βˆ’4 1 . 9 4 8 1 1 𝐸 βˆ’ 6 6 𝐸 βˆ’ 0 8 2 . 0 9 9 9 3 𝐸 βˆ’ 9
βˆ’2 0.00197296 6 . 0 8 8 1 𝐸 βˆ’ 0 5 0.000002123
βˆ’1 0.0485679 β€” 0.000050433
0 0.00051592 8 . 0 8 5 4 4 𝐸 βˆ’ 3 0.000014557

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