An Iteration Method Generating Analytical Solutions for Blasius Problem

Table 1

Comparison of the numerical results obtained by the presented method and the Adomian’s decomposition method for 𝛼=1,1/2 with 𝜇=0.

	𝑛	Presented solution, 𝑦𝑛(𝑥)			Adomian’s solution, 𝑦^A𝑛(𝑥)
		𝐿∞ error	𝐿2 error	CPU time (sec)	𝐿∞ error	𝐿2 error	CPU time (sec)
	2	0.690	0.318	0.14	0.995	0.445	0.09
𝛼=1	4	0.300	0.110	1.03	1.080	0.382	0.37
	6	0.078	0.025	6.37	1.110	0.335	1.48
	8	0.013	0.004	26.5	1.118	0.299	5.74
	2	0.976	0.534	0.13	1.407	0.748	0.11
𝛼=1/2	4	0.424	0.185	1.01	1.527	0.643	0.41
	6	0.111	0.041	6.71	1.570	0.564	1.55
	8	0.019	0.006	27.4	1.581	0.504	5.93