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

Table 9

Comparison between the derivative 𝑓^′(𝜂) obtained from (52) and numerical results for 𝛾=1 and 𝑆=−2 (error = |𝑓^′_OHAM(𝜂)−𝑓^′_numerical(𝜂)|).

𝜂	𝑓^′OHAM(𝜂) (52)	𝑓^′numerical(𝜂)	Error
1	−1.	−1.	0.
9/5	−1.8404107968	−1.8405104714	9.9⋅10^−5
13/5	−0.8900821972	−0.8900516447	3.05⋅10^−5
21/5	−0.1082080071	−0.1081247967	8.3⋅10^−5
29/5	−0.0091018331	−0.0091580377	5.6⋅10^−5
37/5	−0.0006415895	−0.0006482600	6.6⋅10^−6
41/5	−0.0002202957	−0.0001651469	5.5⋅10^−5
9	−0.0001070484	−0.0000411696	6.5⋅10^−5
∞	0	0	0