Theory and Modern Applications
Table 7 Errors and orders in time 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 |
|---|---|---|---|---|---|---|
4096 | 32 | 8.9082e−01 | 3.7028e+00 | |||
4096 | 64 | 1.4329e−01 | 2.6361 | 6.4546e−01 | 2.5202 | |
4096 | 128 | 3.7257e−02 | 1.9434 | 1.6770e−01 | 1.9445 | |
4096 | 256 | 9.4414e−03 | 1.9804 | 4.2466e−02 | 1.9815 |
N(x,t) | M | N | \(\| N-N_{M}\| _{\infty} \) | Order | \(\| N-N_{M}\| _{2} \) | Order |
|---|---|---|---|---|---|---|
4096 | 32 | 1.7973e+00 | 6.5644e+00 | |||
4096 | 64 | 3.4486e−01 | 2.3817 | 1.2186e+00 | 2.4294 | |
4096 | 128 | 7.6059e−02 | 2.1808 | 2.7550e−01 | 2.1451 | |
4096 | 256 | 1.8461e−02 | 2.0427 | 6.7274e−02 | 2.0339 |