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

Table 6

Comparison between the first expression of the first-order approximate solutions 𝑓(𝜂) given by (51) obtained by OHAM and numerical results for 𝛾=1 and 𝑆=−2 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (51)	𝑓numerical(𝜂)	Error
1	1.	1.	0.
9/5	0.6540357246	0.6540356881	3.6⋅10^−8
13/5	0.6019106890	0.6019108087	1.1⋅10^−7
21/5	0.5917231482	0.5917232409	9.2⋅10^−8
29/5	0.5914012763	0.5914011910	8.5⋅10^−8
37/5	0.5913902415	0.5913901904	5.1⋅10^−8
41/5	0.5913898860	0.5913898617	2.4⋅10^−8
9	0.5913898108	0.5913897995	1.1⋅10^−8
∞	0.5913897892	0.5913897892	6.9⋅10^−14