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Table 3 Residual errors for various order HAM computation with \(\pmb{\hbar =-1}\) , \(\pmb{c=0.5}\) and \(\pmb{\mathit{Pr}=1}\)

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

k th-order

X Err

Y Err

T Err

1

1.3778 × 10−3

2.2158 × 10−4

4.2787 × 10−3

5

9.6968 × 10−8

6.7691 × 10−8

9.1674 × 10−6

10

3.2657 × 10−11

3.1218 × 10−11

1.4527 × 10−7

15

4.0317 × 10−14

4.1084 × 10−14

4.0237 × 10−9

20

7.0457 × 10−17

7.3800 × 10−17

1.5154 × 10−10

  1. The nanofluid is Cu-water.