Theory and Modern Applications
From: On high-order compact schemes for the multidimensional time-fractional Schrödinger equation
α | M | N | Scheme CS2DI | Scheme CS2DII | ||
---|---|---|---|---|---|---|
\(L^{\infty }\)-error | Order | \(L^{\infty }\)-error | Order | |||
0.25 | 5 | 50 | 5.328e−3 | – | 5.277e−3 | – |
10 | 460 | 3.587e−4 | 3.893 | 3.552e−4 | 3.892 | |
20 | 4222 | 2.247e−5 | 3.997 | 2.226e−5 | 3.996 | |
0.5 | 5 | 50 | 1.935e−3 | – | 1.911e−3 | – |
10 | 317 | 1.309e−4 | 3.885 | 1.293e−4 | 3.885 | |
20 | 2016 | 8.175e−6 | 4.002 | 8.075e−6 | 4.002 | |
0.75 | 50 | 50 | 7.654e−4 | – | 7.580e−4 | – |
10 | 244 | 5.351e−5 | 3.838 | 5.289e−5 | 3.841 | |
20 | 1189 | 3.614e−6 | 3.888 | 3.558e−6 | 3.894 |