Research Article
A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Table 6
The order of convergence in space for
error norm with
and
.
| | Space | Δ | Δ | Δ | Order | Order | | (0.1/0.2) | (0.2/0.4) |
| | 2 | 1.396685 × 10−4 | 5.598770 × 10−4 | 2.258793 × 10−3 | 2.0031 | 2.0124 | | 4 | 2.592545 × 10−4 | 1.038054 × 10−3 | 4.168527 × 10−3 | 2.0014 | 2.0057 | | 6 | 3.647701 × 10−4 | 1.459612 × 10−3 | 5.846531 × 10−3 | 2.0005 | 2.0020 | | 8 | 4.638980 × 10−4 | 1.855582 × 10−3 | 7.421648 × 10−3 | 2.0000 | 1.9999 | | 10 | 5.600205 × 10−4 | 2.239531 × 10−3 | 8.948683 × 10−3 | 1.9996 | 1.9985 |
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