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Table 3 Individual average residual error with S = M = 0.1, Pr = 0.72, γ = 0.1, Nb = Nt = 0.1, Le = 1, A = 0.01, ε 1 = ε 2 = 0.1, θ r  = − 10.0, β = 0.1.

From: MHD squeeze flow and heat transfer of a nanofluid between parallel disks with variable fluid properties and transpiration

m

\( {E}_m^f \)

\( {E}_m^{\theta} \)

\( {E}_m^{\phi} \)

CPU time (s)

1

1.85 × 10−1

4.24 × 10−3

1.09 × 10−1

0.17

2

1.02 × 10−2

1.15 × 10−4

7.63 × 10−3

1.33

3

5.44 × 10−4

4.05 × 10−6

2.06 × 10−4

4.84

4

1.94 × 10−5

1.82 × 10−7

8.31 × 10−6

13.63

5

3.64 × 10−7

7.83 × 10−9

4.67 × 10−7

33.22

6

4.13 × 10−9

2.58 × 10−10

2.68 × 10−8

71.22

7

2.55 × 10−9

7.23 × 10−12

1.01 × 10−9

139.98

8

5.32 × 10−10

1.62 × 10−13

3.31 × 10−11

280.03

9

6.70 × 10−11

5.94 × 10−15

8.03 × 10−13

454.01

10

6.44 × 10−12

3.05 × 10−16

2.73 × 10−14

743.12