New Approximate Analytical Solutions of the Falkner-Skan Equation

Table 2

Comparison of the 𝐿₂-norm errors of the Adomian solution 𝑦^𝐴_𝑛+1(𝑥), the presented solution 𝑦_𝑛+1(𝑥), and its correction 𝑦_𝑛(𝑥) for various values of 𝛽.

𝛽	𝑛	𝐸(𝑦^𝐴𝑛+1)	𝐸(𝑦𝑛+1)	𝐸(𝑦)
	2	9.9×10^−2	1.6×10^−1	5.7×10^−3
0.5	4	2.1×10^−3	5.1×10^−2	2.4×10^−3
	6	5.4×10^−3	1.2×10^−2	5.1×10^−4
	2	3.1×10^−1	2.0×10^−1	4.6×10^−3
1.0	4	9.3×10^−3	5.5×10^−2	1.5×10^−3
	6	5.1×10^−3	1.2×10^−2	4.1×10^−4
	2	2.8×10^−1	1.2×10^−1	2.0×10^−3
−0.14	4	2.0×10^−1	2.0×10^−2	9.7×10^−4
	6	1.5×10^−1	2.3×10^−3	1.3×10^−4