Theory and Modern Applications
Table 6 (Example 6.2) \(E^{\text{Re}}_{\infty }(h,\tau )\) and \(E^{\text{Im}}_{\infty }(h,\tau )\)
From: Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
γ | h | \(E^{\text{Re}}_{\infty }(h,\tau )\) | \(E^{\text{Re}}_{\infty }(h,\tau )\) | \(E^{\text{Im}}_{\infty }(h,\tau )\) | \(E^{\text{Im}}_{\infty }(h,\tau )\) |
|---|---|---|---|---|---|
Our method | CNS [36] | Our method | CNS [36] | ||
0.1 | 1/9 | 1.2677e−04 | 1.2598e−03 | 1.2575e−04 | 2.4285e−03 |
1/14 | 3.0465e−06 | 2.1903e−04 | 1.0459e−05 | 4.2040e−04 | |
1/19 | 6.4303e−07 | 6.4687e−05 | 1.4559e−06 | 1.2287e−04 | |
1/24 | 6.4494e−07 | 2.5240e−05 | 4.0624e−07 | 4.8414e−05 | |
1/29 | 6.4482e−07 | 1.1872e−05 | 4.0832e−07 | 2.2651e−05 | |
0.3 | 1/9 | 1.2773e−04 | 1.2910e−03 | 1.2491e−04 | 2.4131e−03 |
1/14 | 4.6524e−06 | 2.2543e−04 | 1.0386e−05 | 4.1757e−04 | |
1/19 | 4.6830e−06 | 6.6416e−05 | 5.1023e−06 | 1.2207e−04 | |
1/24 | 4.6805e−06 | 2.5865e−05 | 5.1264e−06 | 4.8095e−05 | |
1/29 | 4.6723e−06 | 1.2160e−05 | 5.1146e−06 | 2.2506e−05 |