Research Article
Numerical Solution of the Blasius Viscous Flow Problem by Quartic B-Spline Method
Table 3
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 | 0.06641 | 0.06641 | 0.06641 | 0.06640 | 0.06641 | 0.06641 | 0.4 | 0.13276 | 0.13276 | 0.13277 | 0.13275 | 0.13276 | 0.13276 | 0.6 | 0.19894 | 0.19894 | 0.19894 | 0.19890 | 0.19893 | 0.19894 | 0.8 | 0.26471 | 0.26471 | 0.26471 | 0.26465 | 0.26469 | 0.26471 | 1.0 | 0.32978 | 0.32978 | 0.32979 | 0.32969 | 0.32976 | 0.32978 | 1.2 | 0.39378 | 0.39378 | 0.39378 | 0.39365 | 0.39374 | 0.39378 | 1.4 | 0.45626 | 0.45626 | 0.45627 | 0.45610 | 0.45622 | 0.45626 | 1.6 | 0.51676 | 0.51676 | 0.51676 | 0.51656 | 0.51671 | 0.51676 | 1.8 | 0.57476 | 0.57476 | 0.57477 | 0.57452 | 0.57470 | 0.57476 | 2.0 | 0.62976 | 0.62977 | 0.62977 | 0.62950 | 0.62970 | 0.62976 | 2.2 | 0.68131 | 0.68131 | 0.68132 | 0.68102 | 0.68124 | 0.68131 | 2.4 | 0.72898 | 0.72898 | 0.72899 | 0.72868 | 0.72891 | 0.72898 | 2.6 | 0.77245 | 0.77245 | 0.77246 | 0.77215 | 0.77238 | 0.77245 | 2.8 | 0.81151 | 0.81151 | 0.81152 | 0.81122 | 0.81144 | 0.81151 | 3.0 | 0.84604 | 0.84604 | 0.84605 | 0.84577 | 0.84598 | 0.84604 | 3.2 | 0.87608 | 0.87608 | 0.87609 | 0.87584 | 0.87602 | 0.87608 | 3.4 | 0.90176 | 0.90176 | 0.90177 | 0.90155 | 0.90171 | 0.90176 | 3.6 | 0.92333 | 0.92333 | 0.92333 | 0.92315 | 0.92329 | 0.92333 | 3.8 | 0.94112 | 0.94112 | 0.94112 | 0.94098 | 0.94108 | 0.94112 | 4.0 | 0.95552 | 0.95553 | 0.95552 | 0.95541 | 0.95549 | 0.95552 | 4.2 | 0.96696 | 0.96704 | 0.96696 | 0.96688 | 0.96694 | 0.96696 | 4.4 | 0.97587 | 0.97639 | 0.97587 | 0.97581 | 0.97586 | 0.97587 | 4.6 | 0.98268 | 0.98564 | 0.98269 | 0.98264 | 0.98267 | 0.98268 | 4.8 | 0.98779 | 1.00322 | 0.98779 | 0.98775 | 0.98778 | 0.98779 | 5.0 | 0.99154 | 1.06671 | 0.99155 | 0.99151 | 0.99153 | 0.99154 |
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