Skip to main content

Theory and Modern Applications

Table 2 Comparison of numerical methods at \(\pmb{T=1.0}\) , \(\pmb{\Delta x=\Delta y=\frac{1}{10}}\) , \(\pmb{\alpha=0.75}\) , \(\pmb{\beta=0.85}\)

From: Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation

Ï„

CFDM in [ 21 ]

INM in [ 20 ]

Our method

1/10

3.0442e − 2

1.2912e − 2

6.2798e − 3

1/20

1.5748e − 2

6.8096e − 3

1.5832e − 3

1/40

8.0073e − 3

3.4686e − 3

8.2968e − 4

1/80

4.0371e − 3

1.7180e − 3

5.9755e − 4

1/160

2.0269e − 3

8.2079e − 4

4.5855e − 4