Theory and Modern Applications
Table 4 (Example 6.1) Comparing \(E^{\text{Re}}_{\infty }(h,\tau )\) and \(E^{\text{Im}}_{\infty }(h,\tau )\) with other methods
From: Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
γ | \(E^{\text{Re}}_{\infty }(h,\tau )\) | \(E^{\text{Re}}_{\infty }(h,\tau )\) | \(E^{\text{Re}}_{\infty }(h,\tau )\) | \(E^{\text{Im}}_{\infty }(h,\tau )\) | \(E^{\text{Im}}_{\infty }(h,\tau )\) | \(E^{\text{Im}}_{\infty }(h,\tau )\) |
|---|---|---|---|---|---|---|
Our method | QBG [16] | CNS [36] | Our method | QBG [16] | CNS [36] | |
0.10 | 3.1730e−07 | 4.6850e−04 | 3.1153e−06 | 1.5460e−07 | 7.7635e−04 | 6.2728e−06 |
0.30 | 2.1533e−06 | 4.9949e−04 | 3.3537e−06 | 1.1104e−06 | 3.2833e−04 | 6.5370e−06 |
0.70 | 3.9262e−05 | 6.6590e−04 | 3.9311e−05 | 3.2046e−05 | 1.0614e−03 | 3.2046e−05 |
0.90 | 1.9926e−04 | 8.4460e−04 | 1.9971e−04 | 1.4957e−04 | 1.3150e−03 | 1.4957e−04 |