Theory and Modern Applications
Table 1 Convergence rates of the ETDRK4-P22 scheme in time
From: Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation
τ | α = 1.2 | α = 1.6 | α = 1.8 | Avg. CPU (s) | |||
|---|---|---|---|---|---|---|---|
e(τ) | p | e(τ) | p | e(τ) | p | ||
1/100 | 1.5285e−2 | 3.982 | 1.6338e−2 | 4.049 | 1.6226e−2 | 4.026 | 2.3439 |
1/200 | 9.6741e−4 | 4.011 | 9.8719e−4 | 4.015 | 9.9607e−4 | 4.008 | 4.2552 |
1/400 | 6.0013e−5 | 3.993 | 6.1051e−5 | 3.993 | 6.1906e−5 | 4.010 | 8.0172 |
1/800 | 3.7697e−6 | – | 3.8349e−6 | – | 3.8427e−6 | – | 15.3620 |
1/1600 | – | – | – | – | – | – | 28.3520 |