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Table 6 Numerical errors and convergent orders with \(\pmb{\beta = 1.5}\) , \(\pmb{\lambda = 2}\) , \(\pmb{T = 1}\) , when \(\pmb{q = 4}\) , \(\pmb{\tau = h^{1/2}}\)

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

h α  = 0.1 α  = 0.5 α  = 0.9
Err( h , τ ) Rate Err( h , τ ) Rate Err( h , τ ) Rate
1/10 1.972781e−04 * 1.806785e−04 * 1.523243e−04 *
1/20 4.280811e−05 2.2043 3.874839e−05 2.2212 3.254807e−05 2.2265
1/40 1.011908e−05 2.0808 9.293740e−06 2.0598 8.656409e−06 1.9107
1/80 2.226747e−06 2.1841 2.004849e−06 2.2128 1.715268e−06 2.3353