An improved spectral homotopy analysis method for solving boundary layer problems

Boundary Value Problems

Table 2 Comparison between the [m, m] ISHAM results and the bvp4c numerical results for the velocity pro le f' (η) at selected values of η for the Blasius boundary layer flow (Example 1) using L = 30, ħ = -1 and N = 200

η	[1,1]	[2,2]	[3,3]	[4,4]	Numerical
0.0	0.0000000	0.0000000	0.0000000	0.0000000	0.0000000
0.4	0.1353503	0.1327642	0.1327642	0.1327642	0.1327642
0.8	0.2699826	0.2647092	0.2647092	0.2647092	0.2647091
1.6	0.5279353	0.5167568	0.5167568	0.5167568	0.5167568
2.0	0.6436159	0.6297657	0.6297657	0.6297657	0.6297657
3.0	0.8609681	0.8460445	0.8460445	0.8460445	0.8460444
4.0	0.9635769	0.9555182	0.9555182	0.9555182	0.9555182
5.0	0.9937558	0.9915420	0.9915420	0.9915420	0.9915419
6.0	0.9992643	0.9989729	0.9989729	0.9989729	0.9989729
8.0	0.9999880	0.9999963	0.9999963	0.9999963	0.9999963
10.0	0.9999991	1.0000000	1.0000000	1.0000000	1.0000000