Table 7 The CPU times of the split-step, linearized Crank–Nicolson FEMs and the Crank–Nicolson FEM with Newton’s iteration with \(T=0.5\).
From: A split-step finite element method for the space-fractional Schrödinger equation in two dimensions
\(\Delta t\), h | Methods | CPU time (s) |
|---|---|---|
1/500, 1/3 | Split-step FEM | 851.16 |
1/500, 1/3 | Crank–Nicolson FEM with Newton’s iteration | 1577.14 |
1/500, 1/3 | Linearized Crank–Nicolson FEM | 1094.15 |
1/1000, 1/2 | Split-step FEM | 144.70 |
1/1000, 1/2 | Crank–Nicolson FEM with Newton’s iteration | 266.35 |
1/1000, 1/2 | Linearized Crank–Nicolson FEM | 152.02 |
1/1500, 1/4 | Split-step FEM | 3435.05 |
1/1500, 1/4 | Crank–Nicolson FEM with Newton’s iteration | 9199.40 |
1/1500, 1/4 | Linearized Crank–Nicolson FEM | 5297.28 |
