Research Article
Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines
Table 3
Solitary wave amplitude 0.09,
,
,
, and
.
| Time | Present method | [26] | | | | | | | | | | |
| 10 | 0.359991 | 0.0259194 | 0.0015552 | 6.4777 × 10−6 | 4.02862 × 10−6 | 0.36081 | 0.02600 | 0.00156 | 0.000285 | 0.0001520 | 20 | 0.359998 | 0.0259194 | 0.0015552 | 0.0000126282 | 7.01317 × 10−6 | 0.36164 | 0.02608 | 0.00157 | 0.000579 | 0.000329 | 30 | 0.360002 | 0.0259194 | 0.0015552 | 0.0000185759 | 9.41599 × 10−6 | 0.36247 | 0.02616 | 0.00158 | 0.000884 | 0.000529 | 40 | 0.360006 | 0.0259194 | 0.0015552 | 0.0000243984 | 0.00001254 | 0.36330 | 0.02625 | 0.00159 | 0.001204 | 0.000750 | 50 | 0.360008 | 0.0259194 | 0.0015552 | 0.0000301437 | 0.0000156344 | 0.36413 | 0.02633 | 0.00159 | 0.001541 | 0.000993 | 60 | 0.36001 | 0.0259194 | 0.0015552 | 0.0000358406 | 0.0000186939 | 0.36497 | 0.02641 | 0.00160 | 0.001898 | 0.001255 | 70 | 0.360012 | 0.0259194 | 0.0015552 | 0.0000415067 | 0.0000217177 | 0.36581 | 0.02649 | 0.00161 | 0.002278 | 0.001536 | 80 | 0.360013 | 0.0259194 | 0.0015552 | 0.0000471519 | 0.0000247077 | 0.36665 | 0.02658 | 0.00162 | 0.002683 | 0.001836 |
|
|