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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Numerical errors and convergent orders with \(\pmb{\lambda = 2}\) , \(\pmb{T= 1}\) , when \(\pmb{q = 3}\)

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

1.285963e−05

*

5.527985e−05

*

1.062574e−04

*

1/40

1.777100e−06

2.8553

7.323031e−06

2.9162

1.410216e−05

2.9136

1/80

2.295725e−07

2.9525

9.432216e−07

2.9568

1.816285e−06

2.9569

1/160

2.888395e−08

2.9906

1.196761e−07

2.9785

2.304527e−07

2.9784

1/320

3.637465e−09

2.9893

1.507136e−08

2.9893

2.902244e−08

2.9892

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