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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