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Table 2 Comparison of the 20th-order HAM approximations with Wang’s results [ 35 ] (marked with an asterisk)

From: Analysis of three-dimensional boundary-layer nanofluid flow and heat transfer over a stretching surface by means of the homotopy analysis method

c

0

0.25

0.50

0.75

1

\(f''(0)\)

−1

−1.048811

−1.093095

−1.134486

−1.173721

\(f''(0)^{*}\)

−1

−1.048813

−1.093097

−1.134485

−1.173720

\(g''(0)\)

0

−0.194564

−0.465205

−0.794618

−1.173721

\(g''(0)^{*}\)

0

−0.194564

−0.465205

−0.794622

−1.173720

f(∞)

1

0.907151

0.842386

0.792302

0.751497

\(f(\infty)^{*}\)

1

0.907075

0.842360

0.792308

0.751527

g(∞)

0

0.257994

0.451678

0.612135

0.751497

\(g(\infty)^{*}\)

0

0.257986

0.451671

0.612049

0.751527