Research Article
Numerical Solution of the Blasius Viscous Flow Problem by Quartic B-Spline Method
Table 4
Comparison of
between some numerical results and our results using different values of
.
| |
DTM [11] |
LTNHPM [7] | Howarth (RK4) | Proposed method | | | |
| 0.0 | 0.33206 | 0.33206 | 0.33206 | 0.33206 | 0.33206 | 0.33206 | 0.2 | 0.33198 | 0.33198 | 0.33199 | 0.33195 | 0.33197 | 0.33198 | 0.4 | 0.33147 | 0.33147 | 0.33147 | 0.33140 | 0.33145 | 0.33147 | 0.6 | 0.33008 | 0.33008 | 0.33008 | 0.32997 | 0.33005 | 0.33008 | 0.8 | 0.32739 | 0.32739 | 0.32739 | 0.32725 | 0.32735 | 0.32739 | 1.0 | 0.32301 | 0.32301 | 0.32301 | 0.32284 | 0.32297 | 0.32301 | 1.2 | 0.31659 | 0.31659 | 0.31659 | 0.31641 | 0.31654 | 0.31659 | 1.4 | 0.30786 | 0.30786 | 0.30787 | 0.30767 | 0.30782 | 0.30786 | 1.6 | 0.29666 | 0.29666 | 0.29667 | 0.29648 | 0.29662 | 0.29666 | 1.8 | 0.28293 | 0.28293 | 0.28293 | 0.28276 | 0.28289 | 0.28293 | 2.0 | 0.26675 | 0.26675 | 0.26675 | 0.26662 | 0.26672 | 0.26675 | 2.2 | 0.24835 | 0.24835 | 0.24835 | 0.24826 | 0.24833 | 0.24835 | 2.4 | 0.22809 | 0.22809 | 0.22809 | 0.22805 | 0.22808 | 0.22809 | 2.6 | 0.20645 | 0.20645 | 0.20646 | 0.20647 | 0.20646 | 0.20645 | 2.8 | 0.18401 | 0.18401 | 0.18401 | 0.18408 | 0.18402 | 0.18401 | 3.0 | 0.16136 | 0.16136 | 0.16136 | 0.16148 | 0.16139 | 0.16136 | 3.2 | 0.13913 | 0.13913 | 0.13913 | 0.13928 | 0.13917 | 0.13913 | 3.4 | 0.11788 | 0.11788 | 0.11788 | 0.11805 | 0.11792 | 0.11788 | 3.6 | 0.09809 | 0.09809 | 0.09809 | 0.09827 | 0.09813 | 0.09809 | 3.8 | 0.08013 | 0.08014 | 0.08013 | 0.08030 | 0.08017 | 0.08013 | 4.0 | 0.06423 | 0.06436 | 0.06424 | 0.06438 | 0.06427 | 0.06423 | 4.2 | 0.05052 | 0.05131 | 0.05052 | 0.05064 | 0.05055 | 0.05052 | 4.4 | 0.03897 | 0.04360 | 0.03897 | 0.03906 | 0.03899 | 0.03897 | 4.6 | 0.02948 | 0.05446 | 0.02948 | 0.02954 | 0.02950 | 0.02948 | 4.8 | 0.02187 | 0.14672 | 0.02187 | 0.02190 | 0.02188 | 0.02187 | 5.0 | 0.01591 | 0.59821 | 0.01591 | 0.01591 | 0.01591 | 0.01591 |
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