Table 7 Exact and MLS solutions at the given knots, CPU time = 0.5 s
x | Approximate u(x) | Exact U(x) | MLS error | MLS error (enchanced) |
|---|---|---|---|---|
0 | − 2.000000000000000 | − 2.00000000000000 | 0 | 0 |
0.066666666666667 | − 1.995555555555558 | − 1.995555555555556 | 0.000000107013828 | 0.000000000000002 |
0.133333333333333 | − 1.982222222222227 | − 1.982222222222222 | 0.000000487796545 | 0.000000000000004 |
0.200000000000000 | − 1.960000000000002 | − 1.960000000000000 | 0.000000812959607 | 0.000000000000002 |
… | … | … | … | … |
0.800000000000000 | − 1.360000000000001 | − 1.360000000000000 | 0.000048779654539 | 0.000000000000001 |
0.866666666666667 | − 1.248888888888889 | − 1.248888888888889 | 0.000004877964554 | 0.000000000000001 |
0.933333333333333 | − 1.128888888888893 | − 1.128888888888889 | 0.000001070138276 | 0.000000000000004 |
1.000000000000000 | − 1.000000000000000 | − 1.000000000000000 | 0 | 0 |