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Table 3 \(L_{2}\)-comparison for problem (3)

From: Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation

Our spectral results at \(\mathcal{M}=2\) and different values of \(\mathcal{N}\)

δ

4

6

8

10

1.2

3.37831 × 10−3

1.01074 × 10−3

1.22583 × 10−4

3.61583 × 10−12

1.4

3.50039 × 10−3

1.12899 × 10−3

1.42245 × 10−4

3.35625 × 10−12

1.8

3.70169 × 10−3

1.39914 × 10−3

1.88913 × 10−4

1.76056 × 10−12

Local discontinuous Galerkin method [57]

 

K

5

10

15

20

N = 1

1.2

1.23e−02

4.61e−03

1.97e−03

1.1e−03

1.4

1.01e−02

2.51e−03

1.11e−03

6.31e−04

1.8

7.31e−03

1.91e−03

8.35e−04

4.71e−04

N = 2

1.2

8.35e−03

1.21e−03

3.55e−04

1.41e−04

1.4

6.24e−03

9.23e−04

2.79e−04

1.13e−04

1.8

2.62e−03

3.54e−04

1.13e−04

4.66e−05