Research Article
A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Table 7
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 | 0.920780 × 10−4 | 3.689931 × 10−4 | 1.480253 × 10−3 | 2.0027 | 2.0042 | 4 | 1.512530 × 10−4 | 6.055462 × 10−4 | 2.430139 × 10−3 | 2.0012 | 2.0047 | 6 | 1.956752 × 10−4 | 7.811765 × 10−4 | 3.126531 × 10−3 | 1.9972 | 2.0008 | 8 | 2.368004 × 10−4 | 9.454389 × 10−4 | 3.768796 × 10−3 | 1.9973 | 1.9950 | 10 | 2.766940 × 10−4 | 1.104758 × 10−3 | 4.416067 × 10−3 | 1.9974 | 1.9990 |
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