Research Article
The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method
Table 3
and
errors for (
1) with
and over the region
.
| | Present method | Finite difference | Finite element | | | | | | |
| | 4 | 0.6945 × 10−4 | 0.26441 × 10−4 | 0.1200 × 10−3 | 0.05000 × 10−3 | 0.1176 × 10−3 | 0.5622 × 10−3 | | 8 | 0.13788 × 10−3 | 0.53415 × 10−4 | 0.2300 × 10−3 | 0.09000 × 10−3 | 0.23108 × 10−3 | 0.1088 × 10−3 | | 12 | 0.20450 × 10−3 | 0.79260 × 10−4 | 0.3400 × 10−3 | 0.1400 × 10−3 | 0.3374 × 10−3 | 0.1544 × 10−3 | | 16 | 0.26884 × 10−3 | 0.10331 × 10−3 | 0.45000 × 10−3 | 0.18000 × 10−3 | 0.43784 × 10−3 | 0.19377 × 10−3 | | 20 | 0.33080 × 10−3 | 0.12561 × 10−3 | 0.55000 × 10−3 | 0.21000 × 10−3 | 0.53223 × 10−3 | 0.2272 × 10−3 |
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