Skip to main content

Theory and Modern Applications

Table 1 \(E_{1}^{M,N}\) 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

8.1943E–2

2.9074E–2

1.0138E–2

3.4975E–3

1.2089E–3

1.4949

1.5198

1.5354

1.5325

α = 0.6

8.3329E–2

3.1109E–2

1.1715E–2

4.4376E–3

1.6896E–3

1.4214

1.4089

1.4005

1.3931

α = 0.8

1.0196E–1

4.1498E–2

1.7335E–2

7.3639E–3

1.1681E–3

1.2968

1.2592

1.2352

1.2168