From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Ā | pĀ =Ā 2 | pĀ =Ā 3 | pĀ =Ā 4 | pĀ =Ā 6 | pĀ =Ā 8 | pĀ =Ā 10 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
c | 0.03 | 0.1 | 0.03 | 0.1 | 0.03 | 0.1 | 0.03 | 0.1 | 0.03 | 0.1 | 0.03 | 0.1 |
amp | 0.17 | 0.31 | 0.29 | 0.43 | 0.38 | 0.52 | 0.52 | 0.63 | 0.60 | 0.70 | 0.66 | 0.75 |
Time | Ā | Ā | Ā | Ā | Ā | Ā | Ā | Ā | Ā | Ā | Ā | Ā |
\({L_{2}}\times 10^{4}\) | ||||||||||||
Ā 5 | 4.36 | 0.16 | 5.84 | 0.37 | 6.89 | 0.65 | 8.26 | 1.44 | 9.12 | 2.76 | 9.71 | 5.09 |
Ā 10 | 5.15 | 0.27 | 6.91 | 0.52 | 8.15 | 0.88 | 9.78 | 2.24 | 10.80 | 5.61 | 11.53 | 13.26 |
Ā 15 | 5.28 | 0.36 | 7.08 | 0.63 | 8.35 | 1.08 | 10.02 | 3.25 | 11.08 | 9.92 | 11.91 | 27.67 |
Ā 20 | 5.54 | 0.44 | 7.43 | 0.74 | 8.77 | 1.29 | 10.53 | 4.51 | 11.67 | 15.92 | 12.66 | 51.36 |
\({L_{\infty}}\times 10^{4}\) | ||||||||||||
Ā 5 | 2.21 | 0.09 | 2.96 | 0.21 | 3.49 | 0.36 | 4.18 | 0.82 | 4.61 | 1.68 | 4.90 | 3.20 |
Ā 10 | 2.11 | 0.13 | 2.83 | 0.25 | 3.33 | 0.43 | 4.00 | 1.18 | 4.41 | 3.09 | 4.68 | 7.34 |
Ā 15 | 2.01 | 0.16 | 2.69 | 0.29 | 3.18 | 0.51 | 3.81 | 1.66 | 4.20 | 5.12 | 4.46 | 14.39 |
Ā 20 | 4.16 | 0.19 | 5.57 | 0.34 | 6.58 | 0.61 | 7.88 | 2.22 | 8.69 | 7.88 | 9.23 | 25.82 |