Research Article
A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Table 9
The order of convergence in time for
error norm with
and
.
| Time | Δ | Δ | Δ | Order | Order | (2.0/1.0) | (1.0/0.5) |
| 2 | | 2.528470 × 10−3 | 2.505105 × 10−4 | 3.653213 | 3.335322 | 4 | | 4.159059 × 10−3 | 4.456332 × 10−4 | 3.584155 | 3.222328 | 6 | | 5.587773 × 10−3 | 5.905399 × 10−4 | 3.411531 | 3.242167 | 8 | | 7.106547 × 10−3 | 7.270440 × 10−4 | 3.173611 | 3.289034 | 10 | | 8.861734 × 10−3 | 8.671150 × 10−4 | 2.899376 | 3.353294 |
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