Theory and Modern Applications
Table 2 Errors and orders in space for \(\tau =0.001, t=1\)
From: Conservative Fourier spectral scheme for the coupled Schrödinger–Boussinesq equations
J | 64 | 128 | 256 | 512 | ||
|---|---|---|---|---|---|---|
u | \(l_{h}^{2}\) | error | 5.076 × 10−5 | 3.501 × 10−8 | 3.5015 × 10−8 | 3.5015 × 10−8 |
\(l_{h}^{\infty}\) | error | 1.982 × 10−5 | 1.425 × 10−8 | 1.739 × 10−8 | 1.739 × 10−8 | |
v | \(l_{h}^{2}\) | error | 1.654 × 10−5 | 4.615 × 10−8 | 4.615 × 10−8 | 4.615 × 10−8 |
\(l_{h}^{\infty}\) | error | 9.350 × 10−5 | 3.146 × 10−8 | 3.146 × 10−8 | 3.146 × 10−8 |