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

Table 11

Comparison between the derivative 𝑓^′(𝜂) obtained from (53) and numerical results for 𝛾=2 and 𝑆=−1 (error = |𝑓^′_OHAM(𝜂)−𝑓^′_numerical(𝜂)|).

𝜂	𝑓^′OHAM(𝜂) (53)	𝑓^′numerical(𝜂)	Error
1	−1.	−1.	0.
9/5	−0.1815921958	−0.1816077514	1.5⋅10^−5
13/5	−0.0465577528	−0.0465561725	1.5⋅10^−6
21/5	−0.0045275785	−0.0045260284	1.5⋅10^−6
29/5	−0.0005600263	−0.0005588247	1.2⋅10^−6
37/5	−0.0000797560	−0.0000778400	1.9⋅10^−6
41/5	−0.0000294916	−0.0000299133	4.2⋅10^−7
9	−0.0000104089	−0.0000116668	1.2⋅10^−6
∞	0	0	0