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Theory and Modern Applications

Table 13 \(L^{2}\)-norm and convergence rate when \(\beta =\gamma =0.3,0.5, 0.8\) and \(\tau =h\)

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

h

β = γ = 0.3

β = γ = 0.5

β = γ = 0.8

Error

Rate

Error

Rate

Error

Rate

1/24

1.5804e−05

1.4156e−05

1.2805e−05

1/25

4.2150e−06

1.9067

3.8236e−06

1.8884

3.5015e−06

1.8707

1/26

1.0833e−06

1.9601

9.9123e−07

1.9476

9.1644e−07

1.9339

1/27

2.7406e−07

1.9829

2.5219e−07

1.9747

2.3463e−07

1.9657

1/28

6.8920e−08

1.9915

6.3652e−08

1.9862

5.9574e−08

1.9776