Theory and Modern Applications
Table 1 (Example 6.1) \(E_{2}(h,\tau )\), \(E_{\infty }(h,\tau )\) and temporal convergence orders
From: Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
γ | τ | \(E_{2}(h,\tau )\) | Temporal2 | \(E_{\infty }(h,\tau )\) | \(\text{Temporal}_{\infty }\) |
|---|---|---|---|---|---|
0.2 | 1/20 | 3.4967e−05 | 5.0107e−05 | ||
1/40 | 1.0627e−05 | 1.7183 | 1.5231e−05 | 1.7180 | |
1/80 | 3.2052e−06 | 1.7292 | 4.5947e−06 | 1.7290 | |
0.4 | 1/20 | 1.2356e−04 | 1.7701e−04 | ||
1/40 | 4.1683e−05 | 1.5677 | 5.9711e−05 | 1.5678 | |
1/80 | 1.3977e−05 | 1.5764 | 2.0021e−05 | 1.5765 | |
0.6 | 1/20 | 3.4186e−04 | 4.8943e−04 | ||
1/40 | 1.3047e−04 | 1.3897 | 1.8678e−04 | 1.3898 | |
1/80 | 4.9681e−05 | 1.3930 | 7.1121e−05 | 1.3930 |