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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 \(L^{2}\)-norm and convergence rate when \(\beta =0.3\), \(0.4,0.5,\gamma =0.8,0.7\), 0.6, and \(h=2^{-8}\)

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

τ

β = 0.3, γ = 0.1

β = 0.4, γ = 0.7

β = 0.5, γ = 0.6

Error

Rate

Error

Rate

Error

Rate

1/21

1.1640e−04

–

1.1388e−04

–

1.1415e−04

–

1/22

3.0373e−05

1.9382

3.1248e−05

1.8657

3.1216e−05

1.8706

1/23

7.5240e−06

2.0132

7.7430e−06

2.0128

7.7576e−06

2.0086

1/24

1.7773e−06

2.0818

1.8122e−06

2.0952

1.8198e−06

2.0918

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