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Theory and Modern Applications

Table 14 \(L^{2}\)-norm and convergence rate when \(\beta =0.3, 0.4,0.5\), \(\gamma =0.1,0.5, 0.6\), and \(h=2^{-8}\)

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

τ

β = 0.3, γ = 0.1

β = 0.4, γ = 0.5

β = 0.5, γ = 0.6

Error

Rate

Error

Rate

Error

Rate

1/21

2.9489e−04

2.9544e−04

2.9512e−04

1/22

7.2841e−05

2.0174

7.3103e−05

2.0149

7.3263e−05

2.0101

1/23

1.8106e−05

2.0083

1.8163e−05

2.0089

1.9625e−05

1.9004

1/24

4.4716e−06

2.0176

4.4856e−06

2.0176

4.5131e−06

2.1205