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

Table 10

Comparison between the first expression of the first-order approximate solutions 𝑓(𝜂) given by (53) obtained by OHAM and numerical results for 𝛾=2 and 𝑆=−1 (error = |𝑓_OHAM(𝜂)−𝑓_numerical(𝜂)|).

𝜂	𝑓OHAM(𝜂) (53)	𝑓numerical(𝜂)	Error
1	2.	2.	0.
9/5	1.6330858924	1.6330861523	2.5⋅10^−7
13/5	1.5550512928	1.5550531316	1.8⋅10^−6
21/5	1.5269871985	1.5269891353	1.9⋅10^−6
29/5	1.5239948037	1.5239925608	2.2⋅10^−6
37/5	1.5236020621	1.5236049410	2.8⋅10^−6
41/5	1.5235615146	1.5235649024	3.3⋅10^−6
9	1.5235467934	1.5235494172	2.6⋅10^−6
∞	1.5235393146	1.5235393145	1.07⋅10^−11