Research Article
A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation
Table 12
Values of
,
, and
for Maxwellian initial condition when
and
and the space interval
.
| | Time | | | | [29] | [29] | [29] |
| | 2 | 1.772528 | 2.499467 | −0.3633570 | 1.772449 | 2.506352 | −0.3668149 | 4 | 1.772544 | 2.499870 | −0.3643380 | 1.772446 | 2.506235 | −0.3666974 | 6 | 1.772532 | 2.500822 | −0.3657774 | 1.772447 | 2.506171 | −0.3666326 | 8 | 1.772524 | 2.500977 | −0.3661331 | 1.772446 | 2.506123 | −0.3665860 | 10 | 1.772521 | 2.501206 | −0.3665079 | 1.772444 | 2.2060926 | −0.3665553 |
| | 2 | 1.772534 | 1.876446 | 0.2597450 | 1.772451 | 1.879888 | 0.2596494 | 4 | 1.772534 | 1.876534 | 0.2587968 | 1.772446 | 1.879855 | 0.2596828 | 6 | 1.772528 | 1.876600 | 0.2583802 | 1.772449 | 1.879841 | 0.2596973 | 8 | 1.772523 | 1.876581 | 0.2582386 | 1.772450 | 1.879834 | 0.2597050 | 10 | 1.772520 | 1.876574 | 0.2581499 | 1.772449 | 1.879828 | 0.2597092 |
| | 2 | 1.770991 | 1.373320 | 0.7687222 | 1.772452 | 1.378607 | 0.7608777 | 4 | 1.769863 | 1.371236 | 0.7658462 | 1.772451 | 1.378577 | 0.7608364 | 6 | 1.768742 | 1.369139 | 0.7630269 | 1.772451 | 1.378546 | 0.7607937 | 8 | 1.767630 | 1.367058 | 0.7602389 | 1.772451 | 1.378515 | 0.7607529 | 10 | 1.766526 | 1.364993 | 0.7574795 | 1.772453 | 1.378483 | 0.7607117 |
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