Research Article
The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method
Table 6
and
errors for (
1) with
and over the region
.
| | Present method | Finite difference | Finite element | | | | | | |
| | 4 | 0.14956 × 10−3 | 0.12290 × 10−3 | 0.1500 × 10−3 | 0.1230 × 10−3 | 0.3983 × 10−3 | 0.22450 × 10−3 | | 8 | 0.32000 × 10−3 | 0.16600 × 10−3 | 0.3200 × 10−3 | 0.1660 × 10−3 | 0.50528 × 10−3 | 0.21706 × 10−3 | | 12 | 0.466159 × 10−3 | 0.17900 × 10−3 | 0.4670 × 10−3 | 0.1790 × 10−3 | 0.5357 × 10−3 | 0.20919 × 10−3 | | 16 | 0.56635 × 10−3 | 0.18454 × 10−3 | 0.5670 × 10−3 | 0.1850 × 10−3 | 0.54934 × 10−3 | 0.20165 × 10−3 | | 20 | 0.63748 × 10−3 | 0.23300 × 10−3 | 0.6380 × 10−3 | 0.2330 × 10−3 | 0.57247 × 10−3 | 0.36498 × 10−3 |
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