Theory and Modern Applications
Table 4 Comparison of maximum errors at different time T for the equation in Example 2, \(h=2\pi/15\), time step \(\tau=0.01\)
From: A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
D-G ADI scheme | New HOC-ADI scheme | |||
|---|---|---|---|---|
T | Error | CPU(s) | Error | CPU(s) |
0.5 | 1.072e–2 | 1.14 | 9.528e–5 | 1.57 |
1 | 2.145e–2 | 2.08 | 1.906e–4 | 3.16 |
2 | 4.289e–2 | 4.20 | 3.811e–4 | 6.29 |
3 | 6.433e–2 | 6.27 | 5.716e–4 | 9.41 |
4 | 8.576e–2 | 8.70 | 7.621e–4 | 12.6 |
5 | 1.071e–1 | 10.4 | 9.526e–4 | 16.5 |