Research Article
Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines
Table 2
Solitary wave amplitude 0.3,
,
,
, and
.
| Time | Present method | [26] | | | | | | | | | | |
| 10 | 1.20001 | 0.287997 | 0.0576 | 0.0000332973 | 0.0000334152 | 1.20446 | 0.28953 | 0.05806 | 0.001647 | 0.001004 | 20 | 1.20004 | 0.287997 | 0.0576 | 0.0000565609 | 0.0000457087 | 1.20890 | 0.29102 | 0.05851 | 0.003556 | 0.002395 | 30 | 1.20005 | 0.287997 | 0.0576 | 0.0000777466 | 0.0000502313 | 1.21325 | 0.29244 | 0.05894 | 0.005813 | 0.004040 | 40 | 1.20005 | 0.287997 | 0.0576 | 0.0000987841 | 0.0000518949 | 1.21737 | 0.29377 | 0.05934 | 0.008496 | 0.005939 | 50 | 1.20005 | 0.287997 | 0.0576 | 0.000119954 | 0.0000613023 | 1.22173 | 0.29523 | 0.05978 | 0.011760 | 0.008165 | 60 | 1.20005 | 0.287997 | 0.0576 | 0.000141203 | 0.0000729713 | 1.22581 | 0.29655 | 0.06018 | 0.015532 | 0.010651 | 70 | 1.20005 | 0.287997 | 0.0576 | 0.000162472 | 0.0000844715 | 1.22988 | 0.29786 | 0.06058 | 0.019843 | 0.013401 | 80 | 1.20004 | 0.287997 | 0.0576 | 0.000183785 | 0.000095878 | 1.23387 | 0.29915 | 0.06097 | 0.024697 | 0.016425 |
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