Research Article

Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM

Table 1

Comparison between the Howarth and LTNHPM methods for 𝑓 ( 𝜂 ) .

𝜂 Howarth [2] 𝑓 ( 𝜂 ) 𝑓 ( 𝜂 )

0 0.00000 0.00000 0.00000
0.2 0.00664 0.00664 0.00664
0.4 0.02656 0.02656 0.02656
0.6 0.05974 0.05973 0.05973
0.8 0.10611 0.10611 0.10611
1 0.16557 0.16557 0.16557
1.2 0.23795 0.23795 0.23795
1.4 0.32298 0.32298 0.32298
1.6 0.42032 0.42032 0.42032
1.8 0.52952 0.52952 0.52952
2 0.65003 0.65002 0.65002
2.2 0.78120 0.78119 0.78119
2.4 0.92230 0.92228 0.92228
2.6 1.07252 1.07250 1.07250
2.8 1.23099 1.23098 1.23098
3 1.39682 1.39681 1.39681
3.2 1.56911 1.56909 1.56909
3.4 1.74696 1.74694 1.74695
3.6 1.92954 1.92951 1.92952
3.8 2.11605 2.11596 2.11602
4 2.30576 2.30550 2.30575
4.2 2.49806 2.49720 2.49805
4.4 2.69238 2.68965 2.69242
4.6 2.88826 2.88002 2.88859
4.8 3.08534 3.06157 3.08718
5 3.28239 3.21785 3.29272