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Table 5 Order [m, m] ISHAM approximate results for f" (η) of the MHD boundary layer flow (Example 3) for different values of M using L = 10, ħ = -1 and N = 200

From: An improved spectral homotopy analysis method for solving boundary layer problems

M

f" (0)

Exact

Absolute error

 

[1,1]

[2,2]

 

[1,1]

[2,2]

5

-2.44812872

-2.44948974

-2.44948974

0.00136102

0.00000000

10

-3.31554301

-3.31662479

-3.31662479

0.00108178

0.00000000

20

-4.58188947

-4.58257570

-4.58257569

0.00068622

0.00000001

50

-7.14113929

-7.14142843

-7.14142843

0.00028914

0.00000000

100

-10.04974330

-10.04987562

-10.04987562

0.00013232

0.00000000

200

-14.17739008

-14.17744688

-14.17744688

0.00005680

0.00000000

500

-22.38301286

-22.38302928

-22.38302929

0.00001643

0.00000001

1000

-31.63857773

-31.63858404

-31.63858404

0.00000631

0.00000000