Table 2 \(L_{2}\)-comparison for problem (2)
Our spectral results at \(\mathcal{M}=2\) and different values of \(\mathcal{N}\) | |||
|---|---|---|---|
δ | 4 | 6 | 8 |
1.2 | 3.70018 × 10−3 | 1.01319 × 10−3 | 1.69633 × 10−12 |
1.4 | 4.09205 × 10−3 | 1.19241 × 10−3 | 5.02948 × 10−13 |
1.8 | 5.05627 × 10−3 | 1.9247 × 10−3 | 1.15406 × 10−12 |
Local discontinuous Galerkin method [57] | |||||
|---|---|---|---|---|---|
K | 5 | 10 | 15 | 20 | |
N = 1 | 1.2 | 7.8 × e−3 | 1.9 × e−3 | 2.048.5 × e−4 | 4.6 × e−4 |
1.4 | 4.9 × e−3 | 1.1 × e−3 | 4.6 × e−4 | 2.152.5 × e−4 | |
1.8 | 1.9 × e−3 | 5.1 × e−4 | 2.2 × e−4 | 1.2 × e−4 | |
N = 2 | 1.2 | 3.4 × e−3 | 4.2 × e−4 | 1.3 × e−4 | 5.2 × e−5 |
1.4 | 1.3 × e−3 | 1.8 × e−4 | 5.6 × e−5 | 2.5 × e−5 | |
1.8 | 8.2 × e−4 | 1.1 × e−4 | 3.1 × e−5 | 1.3 × e−8 | |