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Table 1 The errors between the numerical solutions and the analytical solution at \(t=1\)

From: A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions

Δt and N

\(\|\nabla(\psi(x, y, t_{n})-\psi_{N}^{n})\|_{0}\)

\(\|\omega(x,y,t_{n})-\omega_{N}^{n}\|_{0}\)

Δt = 1/8 and N = 8

2.0951e−2

1.5036e−2

Δt = 1/16 and N = 16

4.7351e−3

3.5732e−3

Δt = 1/32 and N = 32

5.7826e−4

4.9875e−4

Δt = 1/64 and N = 64

2.3564e−4

1.3161e−4