Theory and Modern Applications
Table 2 The maximum absolute error \(\pmb{E_{\infty}}\) between the numerical solution and the exact solution, at time \(\pmb{t=1.0}\) , \(\pmb{\beta=0.5}\)
From: Sturm-Liouville problem and numerical method of fractional diffusion equation on fractals
τ | h | α  = 0.4 | α  = 0.6 | α  = 0.8 |
|---|---|---|---|---|
0.1 | 0.1 | 6.6E-2 | 6.6E-2 | 6.6E-2 |
0.05 | 0.05 | 3.4E-2 | 3.4E-2 | 3.4E-2 |
0.025 | 0.025 | 1.7E-2 | 1.7E-2 | 1.7E-2 |
0.0125 | 0.0125 | 8.6E-3 | 8.5E-3 | 8.5E-3 |