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Theory and Modern Applications

Table 4 The comparison of error between the difference scheme and GL-TFPM

From: Novel finite point approach for solving time-fractional convection-dominated diffusion equations

 

Nx × Ny

γ = 0.1

γ = 0.3

γ = 0.5

γ = 0.8

GL-TFPM

11 × 11

2.2629e−003

3.4251e−003

4.2396e−003

9.3615e−003

21 × 21

1.0380e−003

3.3749e−003

6.1552e−003

9.3210e−003

31 × 31

9.8423e−004

3.1869e−003

5.9977e−003

9.0921e−003

51 × 51

7.6516e−004

1.0529e−003

4.0131e−003

7.6581e−003

DM

11 × 11

7.9724e−001

7.8411e−001

7.7611e−001

7.4650e−001

21 × 21

7.9207e−001

7.7903e−001

7.6215e−001

7.4036e−001

31 × 31

7.8944e−001

7.7663e−001

7.6186e−001

7.2850e−001

51 × 51

7.8073e−001

7.6865e−001

7.5929e−001

7.0866e−001