Theory and Modern Applications
Table 3 The \(\pmb{L_{\infty}}\) error for Example 9.2 with \(\pmb{\alpha=1.8}\) and \(\pmb{\beta=1}\) , 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 | 5.0 × 10−4 | 2.5 × 10−5 | 2.0 × 10−7 | 4.37 | 7.82322 × 10−5 |
8 | 1.5 × 10−4 | 1.5 × 10−4 | 1.2 × 10−7 | 12.917 | 3.52693 × 10−8 |
10 | 6.0 × 10−6 | 6.0 × 10−6 | 1.2 × 10−7 | 21.669 | 1.60277 × 10−10 |
16 | 4.0 × 10−6 | 3.0 × 10−6 | 3.5 × 10−10 | 74.458 | 2.32527 × 10−17 |