Table 1.
Comparative error analysis for the test problem (Eq. 22) for Burgers' equation
Method | N | L1 error | L1 order | ∑UiΔxi |
---|---|---|---|---|
Untracked | 30 | 6.83e-2 | — | 1.732 |
60 | 3.49e-2 | 0.969 | 1.733 | |
120 | 1.63e-2 | 1.10 | 1.733 | |
240 | 8.24e-3 | 0.984 | 1.733 | |
Conservatively tracked | 30 | 2.17e-2 | — | 1.732 |
60 | 7.07e-3 | 1.62 | 1.733 | |
120 | 2.11e-3 | 1.74 | 1.733 | |
240 | 6.04e-4 | 1.80 | 1.733 |