Research Article
The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method
Table 2
Absolute errors for (
1) with
and over the region
.
| | Present method | MOL [7] |
| | −49.5 | 3.44444 × 10−9 | 0.000000000 | | −39.5 | 3.01068 × 10−8 | 0.000000000 | | −29.5 | 5.43620 × 10−9 | 0.000000000 | | −19.5 | 2.01194 × 10−7 | 1.00000 × 10−6 | | −9.5 | 3.91714 × 10−6 | 11.0000 × 10−5 | | 0.5 | 4.39242 × 10−5 | 2.03000 × 10−4 | | 10.5 | 2.31414 × 10−5 | 3.59000 × 10−3 | | 20.5 | 1.43949 × 10−4 | 1.94700 × 10−3 | | 30.5 | 1.9499 × 10−4 | 2.38500 × 10−3 | | 40.4 | 4.67298 × 10−5 | 1.33000 × 10−4 |
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