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Table 7 Numerical errors and convergent orders with \(\pmb{\alpha =0.5}\) , \(\pmb{\lambda = 2}\) , \(\pmb{T = 1}\) , when \(\pmb{q = 1}\) , \(\pmb{\tau = h^{2}}\)

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

h β  = 1.1 β  = 1.5 β  = 1.9
Err( h , τ ) Rate Err( h , τ ) Rate Err( h , τ ) Rate
1/10 1.624398e−04 * 1.640323e−04 * 2.552445e−04 *
1/20 5.330786e−05 1.6075 3.880801e−05 2.0796 6.242922e−05 2.0316
1/40 1.371705e−05 1.9584 9.296651e−06 2.0616 1.532306e−05 2.0265
1/80 3.312170e−06 2.0501 2.244103e−06 2.0506 3.765450e−06 2.0248