Theory and Modern Applications
Table 7 The \(\pmb{L_{\infty}}\) error for Example 9.3 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 | 4.0 × 10−3 | 7.0 × 10−4 | 1.2 × 10−5 | 4.275 | 2.3301 × 10−4 |
8 | 8.0 × 10−4 | 1.0 × 10−3 | 5.0 × 10−6 | 13.009 | 8.91987 × 10−7 |
10 | 6.0 × 10−5 | 6.0 × 10−5 | 4.0 × 10−7 | 22.198 | 7.66056 × 10−9 |
16 | 2.0 × 10−5 | 2.0 × 10−5 | 2.0 × 10−7 | 76.581 | 9.82014 × 10−16 |