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

Table 2

Comparison between the first expression of the first-order approximate solutions 𝑓(𝜂) given by (48) obtained by OHAM and numerical results for 𝛾=1 and 𝑆=−1 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (48)	𝑓numerical(𝜂)	Error
1	1.	1.	0.
9/5	0.4493290026	0.4493289954	7.1⋅10^−9
13/5	0.2018965295	0.2018965301	6.4⋅10^−10
21/5	0.0407622028	0.0407622034	6.02⋅10^−10
29/5	0.0082297496	0.0082297482	1.4⋅10^−9
37/5	0.0016615551	0.0016615578	2.6⋅10^−9
41/5	0.0007465838	0.0007465853	1.5⋅10^−9
9	0.0003354620	0.0003354620	1.4⋅10^−11
∞	6.6613⋅10^−16	8.7647⋅10^−16	2.1⋅10^−14