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Table 8 Numerical errors and convergent orders with \(\pmb{\alpha = 0.5}\) , \(\pmb{\beta = 1.5}\) , \(\pmb{T = 1}\) , when \(\pmb{q = 4}\) , \(\pmb{\tau = h^{1/2}}\)

From: Numerical algorithms for the time-space tempered fractional Fokker-Planck equation

h λ  = 1 λ  = 3 λ  = 5
Err( h , τ ) Rate Err( h , τ ) Rate Err( h , τ ) Rate
1/20 1.185249e−04 * 1.266770e−05 * 1.353897e−06 *
1/40 2.811036e−05 2.0760 3.072661e−06 2.0436 3.358635e−07 2.0112
1/80 5.483807e−06 2.3579 7.329619e−07 2.0677 9.796718e−08 1.7775
1/160 1.396193e−06 1.9737 1.787564e−07 2.0357 2.288642e−08 2.0978