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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 \(L^{2}\)-norm and convergence rate when \(\beta =\gamma =0.3,0.5, 0.8\) 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 = 0.8

Error

Rate

Error

Rate

Error

Rate

1/21

1.1622e−04

–

1.1477e−04

–

1.1043e−04

–

1/22

3.0637e−05

1.9235

3.1111e−05

1.8832

3.1833e−05

1.7945

1/23

7.5963e−06

2.0119

7.7286e−06

2.0091

7.9457e−06

2.0023

1/24

1.7927e−06

2.0832

1.8160e−06

2.0894

1.8646e−06

2.0931

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