Table 3 Time step, error and CPU time over one period, with \(d=128\)
BPL | ETDRK4 | RK4 | |
|---|---|---|---|
Mean time step | \(1.53\,\cdot 10^{-01}\) | \(6.41\,\cdot 10^{-04}\) | \(1.88\,\cdot 10^{-03}\) |
\(L^2\) error at \(t=T\) | \(9.76\,\cdot 10^{-06}\) | \(1.10\,\cdot 10^{-05}\) | \(1.69\,\cdot 10^{-05}\) |
Simulation time | 1.74 | \(1.66\,\cdot 10^{+03}\) | \(5.98\,\cdot 10^{+01}\) |