Research Article
Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines
Table 4
Solitary wave amplitude 0.03,
,
,
, and
.
| Time | Present method | [26] | | | | | | | | | | |
| 10 | 0.119995 | 0.00287993 | 0.0000576 | 7.35307 × 10−7 | 4.93052 × 10−7 | 0.12009 | 0.00288 | 0.000058 | 0.000039 | 0.000030 | 20 | 0.119996 | 0.00287993 | 0.0000576 | 1.45427 × 10−6 | 9.39189 × 10−7 | 0.12021 | 0.00289 | 0.000058 | 0.000083 | 0.000061 | 30 | 0.119997 | 0.00287993 | 0.0000576 | 2.15926 × 10−6 | 1.34287 × 10−6 | 0.12033 | 0.00289 | 0.000058 | 0.000130 | 0.000091 | 40 | 0.119998 | 0.00287993 | 0.0000576 | 2.85232 × 10−6 | 1.70815 × 10−6 | 0.12045 | 0.00290 | 0.000058 | 0.000174 | 0.000119 | 50 | 0.119999 | 0.00287993 | 0.0000576 | 3.5352 × 10−6 | 2.03866 × 10−6 | 0.12056 | 0.00290 | 0.000058 | 0.000215 | 0.000144 | 60 | 0.119999 | 0.00287993 | 0.0000576 | 4.20941 × 10−6 | 2.33772 × 10−6 | 0.12067 | 0.00291 | 0.000058 | 0.000254 | 0.000167 | 70 | 0.120000 | 0.00287993 | 0.0000576 | 4.87624 × 10−6 | 2.60833 × 10−6 | 0.12078 | 0.00291 | 0.000058 | 0.000292 | 0.000188 | 80 | 0.120000 | 0.00287993 | 0.0000576 | 5.53677 × 10−6 | 2.85319 × 10−6 | 0.12088 | 0.00291 | 0.000059 | 0.000330 | 0.000206 |
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