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

Table 7

Comparison between the derivative 𝑓^′(𝜂) obtained from (51) and numerical results for 𝛾=1 and 𝑆=−2 (error = |𝑓^′_OHAM(𝜂)−𝑓^′_numerical(𝜂)|).

𝜂	𝑓^′OHAM(𝜂) (51)	𝑓^′numerical(𝜂)	Error
1	−1.	−1.	0.
9/5	−0.1423061993	−0.1423072726	1.07⋅10^−6
13/5	−0.0231135261	−0.0231135957	6.9⋅10^−8
21/5	−0.0007095855	−0.0007094951	9.04⋅10^−8
29/5	−0.0000238338	−0.0000238925	5.8⋅10^−8
37/5	−8.8615⋅10^−7	−8.4307⋅10^−7	4.3⋅10^−8
41/5	−1.8368⋅10^−7	−1.5887⋅10^−7	2.4⋅10^−8
9	−4.0119⋅10^−8	−3.0513⋅10^−8	9.6⋅10^−9
∞	0	0	0