Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Errors of different time steps at $t = 0.1$

From: Fourier spectral method for the modified Swift-Hohenberg equation

Δt	err(0.1,Δt)	$\frac{err (0.1, Δ t)}{{(Δ t)}^{2}}$
0.001	1.6808 × 10⁻⁶	1.6808
$0.001 \times \frac{1}{2}$	2.2439 × 10⁻⁷	0.8976
$0.001 \times \frac{1}{4}$	2.6068 × 10⁻⁸	0.4171
$0.001 \times \frac{1}{8}$	2.8494 × 10⁻⁹	0.1824
$0.001 \times \frac{1}{16}$	2.8754 × 10⁻¹⁰	0.0736

Back to article page