Theory and Modern Applications
Table 6 Numerical errors and convergent orders with \(\pmb{\beta = 1.5}\) , \(\pmb{\lambda = 2}\) , \(\pmb{T = 1}\) , when \(\pmb{q = 4}\) , \(\pmb{\tau = h^{1/2}}\)
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 | 1.972781e−04 | * | 1.806785e−04 | * | 1.523243e−04 | * |
1/20 | 4.280811e−05 | 2.2043 | 3.874839e−05 | 2.2212 | 3.254807e−05 | 2.2265 |
1/40 | 1.011908e−05 | 2.0808 | 9.293740e−06 | 2.0598 | 8.656409e−06 | 1.9107 |
1/80 | 2.226747e−06 | 2.1841 | 2.004849e−06 | 2.2128 | 1.715268e−06 | 2.3353 |