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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