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

Table 12

Comparison between the first expression of the first-order approximate solutions 𝑓(𝜂) given by (55) obtained by OHAM and numerical results for 𝛾=2 and 𝑆=−2 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (55)	𝑓numerical(𝜂)	Error
1	2.	2.	0.
9/5	1.7283791967	1.7283789517	2.4⋅10^−7
13/5	1.7050648140	1.7050648331	1.9⋅10^−8
21/5	1.7020220942	1.7020221347	4.04⋅10^−8
29/5	1.7019629186	1.7019628448	7.3⋅10^−8
37/5	1.7019614024	1.7019613948	7.5⋅10^−9
41/5	1.7019613622	1.7019613605	1.7⋅10^−9
9	1.7019613550	1.7019613548	2.1⋅10^−10
∞	1.7019613535	1.7019613535	4.4⋅10^−13