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Table 4 Numerical errors and convergent orders with \(\pmb{\lambda = 2}\) , \(\pmb{T= 1}\) , when \(\pmb{q = 4}\)

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 1.654609e−06 * 6.172450e−06 * 1.076598e−05 *
1/40 1.490310e−07 3.4728 4.637825e−07 3.7343 7.508511e−07 3.8418
1/80 1.286134e−08 3.5345 3.288428e−08 3.8180 4.965133e−08 3.9186
1/160 1.085597e−09 3.5665 2.255987e−09 3.8656 3.194957e−09 3.9580
1/320 9.059726e−11 3.5829 1.517684e−10 3.8938 2.027282e−10 3.9782