Theory and Modern Applications
x | Exact | \({{\mathcal{W}_{m}u}}\) via \({{X(\Omega _{1})}}\) | \({{\mathcal{W}_{m}u}}\) via \({{X(\Omega _{2})}}\) | \({{\mathcal{M}u}}\), \(a=3=p^{*}=3\) |
---|---|---|---|---|
0.0 | 1.00000 | 1.00000 | 1.00000 | 1.00000 |
0.1 | 1.10527 | 1.10523 | 1.10534 | 1.10520 |
0.2 | 1.22140 | 1.22170 | 1.22180 | 1.22189 |
0.3 | 1.34986 | 1.35091 | 1.35223 | 1.35298 |
0.4 | 1.49182 | 1.49453 | 1.49722 | 1.49707 |
0.5 | 1.64872 | 1.65442 | 1.65998 | 1.65999 |
0.6 | 1.82212 | 1.83259 | 1.84239 | 1.84337 |
0.7 | 2.01375 | 2.03129 | 2.04661 | 2.04934 |
0.8 | 2.22554 | 2.25293 | 2.27630 | 2.27766 |
0.9 | 2.45960 | 2.50018 | 2.53316 | 2.54492 |
1.0 | 2.71828 | 2.73552 | 2.74283 | 2.75209 |