New Approximate Analytical Solutions of the Falkner-Skan Equation

Table 1

Comparison of the 𝐿₂-norm errors of the truncated Blasius series 𝑆_𝑛+1(𝑥), the presented solution 𝑦_𝑛+1(𝑥), and its correction 𝑦_𝑛(𝑥) for the Blasius problem (𝛽=0).

𝑛	𝐸(𝑆𝑛+1)	𝐸(𝑦𝑛+1)	𝐸(𝑦𝑛)
2	3.9×10^−1	2.0×10^−1	2.4×10^−3
3	3.8×10^−1	1.1×10^−1	9.5×10^−3
4	3.4×10^−1	5.6×10^−2	1.9×10^−3
5	3.3×10^−1	2.5×10^−2	1.7×10^−3
6	3.0×10^−1	1.0×10^−2	4.6×10^−4