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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 10 \(L^{2}\)-norm and convergence rate when \(\beta =0.3, 0.4,0.5\), \(\gamma =0.1,0.7, 0.6\), 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

1.1766e−04

–

1.1696e−04

–

1.2989e−04

–

1/22

3.0831e−05

1.9322

3.3372e−05

1.8093

3.1438e−05

2.0467

1/23

7.6083e−06

2.0187

8.1529e−06

2.0333

7.7724e−06

2.0161

1/24

1.7767e−06

2.0984

1.8642e−06

2.1288

1.8170e−06

2.0968

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