Research Article
Numerical Solution of the Blasius Viscous Flow Problem by Quartic B-Spline Method
Table 2
Comparison of
between some numerical results and our results using different values of
.
| |
DTM [11] |
LTNHPM [7] | Howarth (RK4) | Proposed method | | | |
| 0.0 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.2 | 0.00664 | 0.00664 | 0.00664 | 0.00664 | 0.00664 | 0.00664 | 0.4 | 0.02656 | 0.02656 | 0.02656 | 0.02656 | 0.02656 | 0.02656 | 0.6 | 0.05973 | 0.05973 | 0.05974 | 0.05973 | 0.05973 | 0.05973 | 0.8 | 0.10611 | 0.10611 | 0.10611 | 0.10609 | 0.10610 | 0.10611 | 1.0 | 0.16557 | 0.16557 | 0.16557 | 0.16554 | 0.16556 | 0.16557 | 1.2 | 0.23795 | 0.23795 | 0.23795 | 0.23790 | 0.23794 | 0.23795 | 1.4 | 0.32298 | 0.32298 | 0.32298 | 0.32290 | 0.32296 | 0.32298 | 1.6 | 0.42032 | 0.42032 | 0.42032 | 0.42021 | 0.42029 | 0.42032 | 1.8 | 0.52952 | 0.52952 | 0.52952 | 0.52936 | 0.52948 | 0.52952 | 2.0 | 0.65002 | 0.65002 | 0.65003 | 0.64982 | 0.64997 | 0.65002 | 2.2 | 0.78119 | 0.78119 | 0.78120 | 0.78093 | 0.78113 | 0.78119 | 2.4 | 0.92229 | 0.92228 | 0.92230 | 0.92197 | 0.92221 | 0.92229 | 2.6 | 1.07250 | 1.07250 | 1.07252 | 1.07212 | 1.07241 | 1.07250 | 2.8 | 1.23098 | 1.23098 | 1.23099 | 1.23054 | 1.23087 | 1.23098 | 3.0 | 1.39681 | 1.39681 | 1.39682 | 1.39631 | 1.39668 | 1.39681 | 3.2 | 1.56909 | 1.56909 | 1.56911 | 1.56854 | 1.56896 | 1.56909 | 3.4 | 1.74695 | 1.74695 | 1.74696 | 1.74635 | 1.74680 | 1.74695 | 3.6 | 1.92952 | 1.92952 | 1.92954 | 1.92889 | 1.92936 | 1.92952 | 3.8 | 2.11603 | 2.11602 | 2.11605 | 2.11536 | 2.11586 | 2.11603 | 4.0 | 2.30574 | 2.30575 | 2.30576 | 2.30506 | 2.30557 | 2.30574 | 4.2 | 2.49804 | 2.49805 | 2.49806 | 2.49733 | 2.49786 | 2.49804 | 4.4 | 2.69236 | 2.69242 | 2.69238 | 2.69164 | 2.69218 | 2.69236 | 4.6 | 2.88824 | 2.88859 | 2.88826 | 2.88751 | 2.88806 | 2.88824 | 4.8 | 3.08532 | 3.08718 | 3.08534 | 3.08458 | 3.08513 | 3.08532 | 5.0 | 3.28327 | 3.29272 | 3.28329 | 3.28252 | 3.28308 | 3.28327 |
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