Theory and Modern Applications
Table 5 Numerical errors and convergent orders with \(\pmb{\beta = 1.5}\) , \(\pmb{\lambda = 2}\) , \(\pmb{T = 1}\) , when \(\pmb{q = 1}\) , \(\pmb{\tau = h^{2}}\)
From: Numerical algorithms for the time-space tempered fractional Fokker-Planck equation
h | α = 0.1 | α = 0.5 | α = 0.9 | |||
|---|---|---|---|---|---|---|
Err( h , τ ) | Rate | Err( h , τ ) | Rate | Err( h , τ ) | Rate | |
1/10 | 1.671032e−04 | * | 1.640323e−04 | * | 1.629271e−04 | * |
1/20 | 3.928033e−05 | 2.0889 | 3.880801e−05 | 2.0796 | 3.890401e−05 | 2.0662 |
1/40 | 9.352858e−06 | 2.0703 | 9.296651e−06 | 2.0616 | 9.399219e−06 | 2.0493 |
1/80 | 2.245405e−06 | 2.0584 | 2.244103e−06 | 2.0506 | 2.286094e−06 | 2.0397 |