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

Table 4

Comparison between the second expression of the first-order approximate solutions 𝑓(𝜂) given by (50) obtained by OHAM and numerical results for 𝛾=1 and 𝑆=−1 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (50)	𝑓numerical(𝜂)	Error
1	1.	1.	0.
9/5	0.3025681133	0.3025729017	4.7⋅10^−6
13/5	−0.1319503386	−0.1319549886	4.6⋅10^−6
21/5	−0.4960887571	−0.4961000384	1.1⋅10^−5
29/5	−0.5909291088	−0.5909208156	8.2⋅10^−6
37/5	−0.6138226907	−0.6138228346	1.4⋅10^−7
41/5	−0.6174089320	−0.6174180498	9.1⋅10^−6
9	−0.6191261345	−0.6191351201	8.9⋅10^−6
∞	−0.6206780156	−0.6206780156	4.5⋅10^−14