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Theory and Modern Applications

Table 9 \(L^{2}\)-norm and convergence rate when \(\beta =\gamma =0.3,0.5, 0.6\) and \(h=2^{-8}\)

From: The finite volume element method for the two-dimensional space-fractional convection–diffusion equation

τ

β = γ = 0.3

β = γ = 0.5

β = γ = 0.6

Error

Rate

Error

Rate

Error

Rate

1/21

1.1683e−04

1.1465e−04

1.1327e−04

1/22

3.0989e−05

1.9146

3.1312e−05

1.8724

3.1468e−05

1.8478

1/23

7.6545e−06

2.0174

7.7527e−06

2.0139

7.8036e−06

2.0117

1/24

1.7903e−06

2.0961

1.8119e−06

2.0972

1.8193e−06

2.1008