Skip to main content

Theory and Modern Applications

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

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

h

β = 0.3, γ = 0.8

β = 0.4, γ = 0.7

β = 0.5, γ = 0.6

Error

Rate

Error

Rate

Error

Rate

1/24

3.9727e−05

3.8506e−05

3.7885e−05

1/25

1.0777e−05

1.8822

1.0454e−05

1.8810

1.0287e−05

1.8808

1/26

2.8237e−06

1.9323

2.7390e−06

1.9323

2.6944e−06

1.9328

1/27

7.2630e−07

1.9589

7.0428e−07

1.9594

6.9254e−07

1.9600

1/28

1.8508e−07

1.9724

1.7935e−07

1.9734

1.7631e−07

1.9738