Table 4

Order [m, m] ISHAM approximate results for the velocity profile f' (η) of the MHD boundary layer flow (Example 3) when M = 10 using L = 10, ħ = -1 and N = 200

η

f' (η)

Exact

Absolute error



[1,1]

[2,2]

[3,3]

[1,1]

[2,2]

[3,3]


0.0

1.00000000

1.00000000

1.00000000

1.00000000

0.00000000

0.00000000

0.00000000

0.5

0.19106051

0.19046007

0.19046007

0.19046013

0.00060038

0.00000006

0.00000006

1.0

0.03731355

0.03627506

0.03627506

0.03627506

0.00103849

0.00000000

0.00000000

1.5

0.00795438

0.00690893

0.00690893

0.00690895

0.00104543

0.00000002

0.00000002

2.0

0.00212716

0.00131588

0.00131588

0.00131588

0.00081128

0.00000000

0.00000000

2.5

0.00080280

0.00025062

0.00025062

0.00025062

0.00055218

0.00000000

0.00000000

3.0

0.00040021

0.00004773

0.00004773

0.00004773

0.00035248

0.00000000

0.00000000

3.5

0.00022752

0.00000909

0.00000909

0.00000909

0.00021843

0.00000000

0.00000000

4.0

0.00013536

0.00000173

0.00000173

0.00000173

0.00013363

0.00000000

0.00000000

5.0

0.00004944

0.00000006

0.00000006

0.00000006

0.00004938

0.00000000

0.00000000

6.0

0.00001818

0.00000000

0.00000000

0.00000000

0.00001818

0.00000000

0.00000000


Motsa et al. Boundary Value Problems 2011 2011:3   doi:10.1186/1687-2770-2011-3

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