Table 1 Numerical errors of the split-step FEM at \(t=1\) with \(\Delta t=1.0e-03\).
From: A split-step finite element method for the space-fractional Schrödinger equation in two dimensions
h | \(||e_u||_{0,\Omega }\) | Rate | \(||e_v||_{0,\Omega }\) | Rate |
|---|---|---|---|---|
1/5 | 1.3608e−01 | – | 1.3890e−01 | – |
1/10 | 3.4829e−02 | 1.97 | 3.5661e−02 | 1.96 |
1/20 | 8.9829e−03 | 1.96 | 9.3381e−03 | 1.93 |
