Table 4 |
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|
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 |
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|
η |
f' (η) |
Exact |
Absolute error |
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|
|
|
||||||
|
[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 |
|
|
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|
Motsa et al. Boundary Value Problems 2011 2011:3 doi:10.1186/1687-2770-2011-3 |
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