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

Table 8

Comparison between the second expression of the first-order approximate solutions 𝑓(𝜂) given by (52) obtained by OHAM and numerical results for 𝛾=1 and 𝑆=−2 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (52)	𝑓numerical(𝜂)	Error
1	1.	1.′	0.
9/5	−0.4931638904	−0.4931976737	3.3⋅10^−5
13/5	−1.5746868741	−1.5746416452	4.5⋅10^−5
21/5	−2.1944651392	−2.1944897035	2.4⋅10^−5
29/5	−2.2598561227	−2.2598257759	3.0⋅10^−5
37/5	−2.2649614997	−2.2650206599	5.9⋅10^−5
41/5	−2.2652663671	−2.2653038433	3.7⋅10^−5
9	−2.2653903391	−2.2653753555	1.4⋅10^−5
∞	−2.2653986945	−2.2653986945	5.1⋅10^−14