Theory and Modern Applications
Table 6 Absolute error of u(x) - u N (x) using SLC of (51) subject to the third type of boundary conditions for various choices of N
From: A shifted Legendre spectral method for fractional-order multi-point boundary value problems
N | SLC for N= 4 | SLC for N= 12 | SLT for N= 24 |
|---|---|---|---|
0.0 | 1.38 × 10-17 | 1.42 × 10-17 | 1.62 × 10-17 |
0.1 | 4.84 × 10-5 | 7.87 × 10-5 | 1.84 × 10-5 |
0.2 | 8.94 × 10-4 | 1.42 × 10-4 | 3.32 × 10-5 |
0.3 | 1.22 × 10-3 | 1.91 × 10-4 | 4.46 × 10-5 |
0.4 | 1.47 × 10-3 | 2.25 × 10-4 | 5.30 × 10-5 |
0.5 | 1.64 × 10-3 | 2.49 × 10-4 | 5.85 × 10-5 |
0.6 | 1.73 × 10-3 | 2.62 × 10-4 | 6.16 × 10-5 |
0.7 | 1.76 × 10-3 | 2.66 × 10-4 | 6.25 × 10-5 |
0.8 | 1.74 × 10-3 | 2.62 × 10-3 | 6.17 × 10-5 |
0.9 | 1.67 × 10-3 | 2.51 × 10-4 | 5.93 × 10-5 |
1.0 | 1.59 × 10-3 | 2.35 × 10-4 | 5.55 × 10-5 |