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Theory and Modern Applications

Table 3 \(E_{1}^{M,N}\) and \(E_{2}^{M,N}\) convergent results on spatial direction for L1 FEM with \(\alpha =0.4\)

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

 

M = 4

M = 8

M = 16

M = 32

M = 64

\(E_{1}^{M,N}\)

4.1198E–1

1.0643E–1

2.6937E–2

6.8276E–3

1.7677E–3

1.9526

1.9822

1.9823

1.9476

\(E_{2}^{M,N}\)

5.9157E–1

1.4835E–1

3.7192E–2

9.3590E–3

2.3847E–3

1.9958

1.9960

1.9905

1.9725