Theory and Modern Applications
Table 4 The \(\pmb{L_{\infty}}\) error for Example 9.2 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 | 3.0 × 10−3 | 1.0 × 10−3 | 5.0 × 10−4 | 4.868 | 2.26905 × 10−3 |
8 | 8.0 × 10−4 | 2.0 × 10−4 | 5.0 × 10−5 | 21.416 | 4.78888 × 10−6 |
10 | 1.5 × 10−4 | 1.5 × 10−5 | 1.2 × 10−5 | 53.039 | 3.13802 × 10−8 |
16 | 1.5 × 10−6 | 1.5 × 10−6 | 8.0 × 10−7 | 636.265 | 3.69793 × 10−15 |