Table 1 \(L_{2}\)-comparison for problem (1)
Our spectral results at \(\mathcal{M}=2\) and different values of \(\mathcal{N}\) | |||
|---|---|---|---|
δ | 4 | 6 | 8 |
1.2 | 3.38359 × 10−3 | 7.23926 × 10−4 | 1.7081 × 10−12 |
1.4 | 3.78916 × 10−3 | 9.39218 × 10−4 | 5.07319 × 10−13 |
1.8 | 4.77345 × 10−3 | 1.74284 × 10−3 | 1.17669 × 10−12 |
Local discontinuous Galerkin method [57] | |||||
|---|---|---|---|---|---|
K | 5 | 10 | 15 | 20 | |
N = 1 | 1.2 | 5.97 × e−02 | 8.6 × e−03 | 3.4 × e−03 | 1.8 × e−03 |
1.4 | 2.84 × e−02 | 5.8 × e−03 | 2.5 × e−03 | 1.3 × e−03 | |
1.8 | 1.91 × e−02 | 4.5 × e−03 | 1.9 × e−03 | 9.9 × e−04 | |
N = 2 | 1.2 | 3.52 × e−02 | 4.3 × e−03 | 1.2 × e−03 | 4.8 × e−04 |
1.4 | 1.57 × e−02 | 2.1 × e−03 | 5.9 × e−04 | 2.6 × e−04 | |
1.8 | 1.45 × e−02 | 1.8 × e−03 | 5.5 × e−04 | 2.2 × e−04 | |