Research Article
A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation
Table 5
Table comparing values obtained from the nonstandard numerical scheme (
43) to the single solitary wave solution (
8) for
and
, for
, and taking
and
.
| Time | | | | | |
| 0 | 3.97995 | 0.810462 | 2.57901 | 0.00000 | 0.00000 | 4 | 3.97995 | 0.810462 | 2.57901 | 0.00514014 | 0.00207598 | 8 | 3.97995 | 0.810462 | 2.57901 | 0.0101538 | 0.00416179 | 12 | 3.97995 | 0.810462 | 2.57901 | 0.0149734 | 0.0060774 | 16 | 3.97995 | 0.810462 | 2.57901 | 0.019566 | 0.00780266 | 20 | 3.97995 | 0.810462 | 2.57901 | 0.023929 | 0.00936437 |
|
|