Table 5 Invariants and errors for single solitary wave with \( p=4,c=4/3,h=0.1,{\Delta{t}}=0.01,\mu =1,x\in \left[ 0,100\right] \)
From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Time | \({I_{1}}\) | \({I_{2}}\) | \({I_{3}}\) | \({L_{2}}\times 10^{3}\) | \({L_{\infty}}\times 10^{3}\) |
|---|---|---|---|---|---|
0 | 3.4687090 | 2.6716914 | 0.7292045 | 0.00000000 | 0.00000000 |
2 | 3.4690660 | 2.6722659 | 0.7305244 | 2.71272493 | 1.97322350 |
4 | 3.4694090 | 2.6728105 | 0.7309610 | 3.80159123 | 2.65902173 |
6 | 3.4697519 | 2.6733547 | 0.7313161 | 3.84205549 | 2.71392029 |
8 | 3.4700954 | 2.6738997 | 0.7316538 | 2.88903866 | 2.11361885 |
10 | 3.4704395 | 2.6744459 | 0.7319875 | 1.51139451 | 0.85758574 |