Theory and Modern Applications
Table 11 The \(\pmb{L_{\infty}}\) error for Example 9.4 , the collocation method
From: Normalized Bernstein polynomials in solving space-time fractional diffusion equation
n | T  = 2 | T  = 10 | T  = 100 | CPU time (s) | \(\boldsymbol{R_{\infty}}\) |
|---|---|---|---|---|---|
5 | 4.0 × 10−3 | 3.0 × 10−3 | 2.0 × 10−7 | 15.257 | 7.35512 × 10−3 |
8 | 7.0 × 10−4 | 9.0 × 10−3 | 7.0 × 10−8 | 41.432 | 1.26371 × 10−6 |
10 | 1.0 × 10−3 | 3.4 × 10−4 | 4.0 × 10−9 | 58.343 | 2.17796 × 10−9 |
16 | 1.0 × 10−4 | 9.5 × 10−4 | 8.0 × 10−10 | 217.746 | 1.30039 × 10−16 |