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Table 1 Numerical errors and convergent orders with \(\pmb{\lambda = 2}\) , \(\pmb{T= 1}\) , when \(\pmb{q = 1}\)

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

τ α  = 0.1 α  = 0.5 α  = 0.9
Err( τ ) Rate Err( τ ) Rate Err( τ ) Rate
1/20 1.042402e−03 * 5.951186e−03 * 1.211901e−02 *
1/40 5.228154e−04 0.9955 2.968097e−03 1.0036 5.998746e−03 1.0145
1/80 2.618102e−04 0.9978 1.482148e−03 1.0018 2.984155e−03 1.0073
1/160 1.310056e−04 0.9989 7.405955e−04 1.0009 1.488269e−03 1.0037
1/320 6.552793e−05 0.9994 3.701777e−04 1.0005 7.431822e−04 1.0018