Theory and Modern Applications
Table 8 Errors and orders in space for the fractional quantum Zakharov system with \(\alpha =1.7\), \(\beta =1.8\)
E(x,t) | M | N | \(\| E-E_{M}\| _{\infty} \) | Order | \(\| E-E_{M}\| _{2} \) | Order |
|---|---|---|---|---|---|---|
16 | 4096 | 1.2348e+00 | 1.0760e+01 | |||
32 | 4096 | 1.9619e+00 | −0.6677 | 9.8699e+00 | 0.1245 | |
64 | 4096 | 6.5951e−03 | 8.2166 | 2.6440e−02 | 8.5441 | |
128 | 4096 | 1.4866e−07 | 15.437 | 6.3216e−07 | 15.352 |
N(x,t) | M | N | \(\| N-N_{M}\| _{\infty} \) | Order | \(\| N-N_{M}\| _{2} \) | Order |
|---|---|---|---|---|---|---|
16 | 4096 | 2.0552e+00 | 1.3383e+01 | |||
32 | 4096 | 1.7036e+00 | 2.7070 | 6.3425e+00 | 1.0772 | |
64 | 4096 | 1.1000e−02 | 7.2749 | 9.6132e−02 | 6.0439 | |
128 | 4096 | 1.7211e−06 | 12.642 | 1.1154e−05 | 13.073 |