Table 7 Numerical results of Example 4 for \(\varepsilon =0.001\)
x | UVA solution | SCEM approximation | Absolute error |
|---|---|---|---|
0.000 | −1.0000000000000 | −1.0000000000000 | 0.000000000000 |
0.001 | 2.4569396723180 | 2.4576445075493 | 7.0483523e(−4) |
0.005 | 3.0044963201391 | 3.0044963670615 | 4.6922397e(−8) |
0.010 | 3.0094999999988 | 3.0094999981336 | 1.8652617e(−9) |
0.050 | 3.0495000000000 | 3.0495000000101 | 1.01216812e(−11) |
0.070 | 3.0695000000000 | 3.0694999930517 | 7.23865412e(−13) |
0.100 | 3.0995000000000 | 3.0995000000000 | 1.02140518e(−14) |
0.200 | 3.1995000000000 | 3.1995000000000 | 0.000000000000 |
0.400 | 3.3995000000000 | 3.3995000000000 | 0.000000000000 |
0.600 | 3.5995000000000 | 3.5995000000000 | 0.000000000000 |
0.800 | 3.7995000000000 | 3.7995000000000 | 0.000000000000 |
1.000 | 3.9995000000000 | 3.9995000000000 | 0.000000000000 |