Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

Table 13

Comparison between the derivative 𝑓^′(𝜂) obtained from (55) and numerical results for 𝛾=2 and 𝑆=−2 (error = |𝑓^′_OHAM(𝜂)−𝑓^′_numerical(𝜂)|).

𝜂	𝑓^′OHAM(𝜂) (55)	𝑓^′numerical(𝜂)	Error
1	−1.	−1.	0.
9/5	−0.0740545041	−0.0740547752	2.7⋅10^−7
13/5	−0.0079946060	−0.0079954465	8.4⋅10^−7
21/5	−0.0001438623	−0.0001440860	2.2⋅10^−7
29/5	−3.4550⋅10^−6	−3.3915⋅10^−6	6.3⋅10^−8
37/5	−1.0521⋅10^−7	−9.3066⋅10^−8	1.2⋅10^−8
41/5	−1.8882⋅10^−8	−1.5206⋅10^−8	3.6⋅10^−9
9	−3.3327⋅10^−9	−2.8550⋅10^−9	4.7⋅10^−10
∞	0	0	0