Theory and Modern Applications
Table 1 The maximum absolute error with \(\pmb{\alpha=1.4}\) for Example 9.1 , the collocation method
From: Normalized Bernstein polynomials in solving space-time fractional diffusion equation
γ | T  = 2 | T  = 10 | T  = 100 | CPU time (s) | \(\boldsymbol{R_{\infty}}\) |
|---|---|---|---|---|---|
0.2 | 1.15249 × 10−4 | 1.74967 × 10−5 | 1.71026 × 10−7 | 17.209 | 7.48674 × 10−6 |
0.4 | 1.18497 × 10−4 | 2.16571 × 10−5 | 3.2801 × 10−7 | 15.085 | 9.01317 × 10−6 |
0.6 | 1.171774 × 10−4 | 1.47567 × 10−5 | 2.97227 × 10−7 | 17.471 | 7.26192 × 10−6 |
0.8 | 2.22216 × 10−4 | 1.93125 × 10−5 | 1.94697 × 10−7 | 16.473 | 8.93887 × 10−6 |