Theory and Modern Applications
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 | 1.2388e−2 | 3.989 | 1.3319e−2 | 4.005 | 1.2256e−2 | 3.996 | 2.4631 |
1/200 | 7.8010e−4 | 4.006 | 8.2984e−4 | 4.011 | 7.6792e−4 | 4.021 | 4.7275 |
1/400 | 4.8544e−5 | 4.012 | 5.1479e−5 | 4.007 | 4.7315e−5 | 4.015 | 8.6160 |
1/800 | 3.0095e−6 | – | 3.2014e−6 | – | 2.9261e−6 | – | 15.2435 |
1/1600 | – | – | – | – | – | – | 29.0225 |