Theory and Modern Applications
Table 2 (Example 6.1) \(E_{2}(h,\tau )\), \(E_{\infty }(h,\tau )\) and spatial convergence orders
From: Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
γ | h | \(E_{2}(h,\tau )\) | Space2 | \(E_{\infty }(h,\tau )\) | \(\text{Space}_{\infty }\) | \(E_{\infty }(h,\tau )\) | \(\text{Space}_{\infty }\) |
|---|---|---|---|---|---|---|---|
Our method | Our method | CNS [36] | |||||
0.2 | 1/5 | 1.0859e−02 | 1.5316e−02 | 2.6917e−02 | |||
1/10 | 5.7595e−05 | 7.5587 | 7.7591e−05 | 7.6249 | 1.6360e−03 | 4.0403 | |
1/20 | 7.4037e−07 | 6.2816 | 1.0556e−06 | 6.1998 | 1.0096e−04 | 4.0183 | |
0.4 | 1/5 | 1.0799e−02 | 1.5303e−02 | 2.6888e−02 | |||
1/10 | 5.7073e−05 | 7.5639 | 7.6880e−05 | 7.6370 | 1.6188e−03 | 4.0540 | |
1/20 | 7.3276e−07 | 6.2833 | 1.0440e−06 | 6.2024 | 1.0048e−04 | 4.0099 | |
0.6 | 1/5 | 1.0697e−02 | 1.5252e−02 | 2.6750e−02 | |||
1/10 | 5.6275e−05 | 7.5705 | 7.5741e−05 | 7.6537 | 1.5965e−03 | 4.0666 | |
1/20 | 7.2262e−07 | 6.2831 | 1.0382e−06 | 6.1889 | 9.9534e−05 | 4.0036 | |