Theory and Modern Applications
Table 8 The \(\pmb{L_{\infty}}\) error for Example 9.3 with \(\pmb{\alpha =1.8}\) and \(\pmb{\beta=1}\) , the Galerkin 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 | 1.5 × 10−2 | 7.0 × 10−3 | 2.5 × 10−3 | 5.053 | 1.267 × 10−3 |
8 | 8.0 × 10−3 | 1.5 × 10−3 | 7.0 × 10−4 | 22.385 | 2.91652 × 10−6 |
10 | 2.5 × 10−3 | 4.0 × 10−4 | 3.0 × 10−4 | 53.508 | 1.52719 × 10−8 |
16 | 1.4 × 10−5 | 2.0 × 10−5 | 6.0 × 10−6 | 646.187 | 5.18714 × 10−16 |