Skip to main content

Theory and Modern Applications

Table 2 \(E_{2}^{M,N}\) errors and orders of convergence for L1 FEM with \(r=(2-\alpha )/\alpha \)

From: Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity

 

N = 20

N = 40

N = 80

N = 160

N = 320

α = 0.4

8.3912E–2

2.9429E–2

1.0212E–2

3.5165E–3

1.2067E–3

1.5116

1.6459

1.5381

1.5391

α = 0.6

8.5231E–2

3.1432E–2

1.1777E–2

4.4528E–3

1.6947E–3

1.4391

1.4162

1.4032

1.3969

α = 0.8

1.0362E–1

4.1759E–2

1.7383E–2

7.3766E–3

3.1681E–3

1.3111

1.2643

1.2367

1.2193