Mathematical Problems in Engineering

Research Article

Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction

Table 3

Relation between convergence measure 𝛿 𝑛 e and 𝐿 ∞ error 𝜺 𝐿 ∞ for the mean 𝜇 𝛼 and standard deviation 𝜎 𝛼 at 𝑈 ∗ = 1 3 . 4 2 .
𝑛 e 𝑛 s Mean 𝜇 𝛼 Standard deviation 𝜎 𝛼
conv. 𝛿 𝑛 e error 𝜀 𝐿 ∞ conv. 𝛿 𝑛 e error 𝜀 𝐿 ∞
1 3 — 3 . 1 7 6 ⋅ 1 0 − 1 — 3 . 2 2 4 ⋅ 1 0 − 1
2 5 2 . 6 6 6 ⋅ 1 0 − 1 1 . 9 0 5 ⋅ 1 0 − 1 3 . 3 8 9 ⋅ 1 0 − 1 2 . 1 1 7 ⋅ 1 0 − 1
4 9 1 . 6 7 9 ⋅ 1 0 − 1 1 . 0 2 4 ⋅ 1 0 − 1 1 . 6 8 5 ⋅ 1 0 − 1 1 . 6 2 9 ⋅ 1 0 − 1
8 17 5 . 3 3 5 ⋅ 1 0 − 2 1 . 1 3 6 ⋅ 1 0 − 1 7 . 3 9 1 ⋅ 1 0 − 2 1 . 2 7 2 ⋅ 1 0 − 1
16 33 1 . 1 0 3 ⋅ 1 0 − 1 6 . 9 8 4 ⋅ 1 0 − 3 1 . 2 5 3 ⋅ 1 0 − 1 1 . 0 6 0 ⋅ 1 0 − 2