Theory and Modern Applications
Table 4 Numerical results and approximated RKHS-solutions of Example 4.2
t | Approximate u(t) | Approximate v(t) | Absolute Error u(t) | Absolute Error v(t) |
|---|---|---|---|---|
0. | 1 | 1 | 0. | 0. |
0.2 | 0.6703194887 | 0.8187299974 | 5.573444155 × 10−7 | 7.556686423 × 10−7 |
0.4 | 0.449327762 | 0.6703188097 | 1.202139499 × 10−6 | 1.236292949 × 10−6 |
0.6 | 0.3011928511 | 0.5458760657 | 1.36082079 × 10−6 | 0.002935570398 |
0.8 | 0.201895234 | 0.4245696735 | 1.284006963 × 10−6 | 0.02475929057 |
1. | 0.1353341734 | 0.3032632814 | 1.109822727 × 10−6 | 0.0646161597 |
1.2 | 0.09071704242 | 0.1819568893 | 9.108704336 × 10−7 | 0.1192373227 |
1.4 | 0.06080934018 | 0.0606504971 | 7.224408154 × 10−7 | 0.1859464668 |
1.6 | 0.04076164474 | −0.06065589505 | 5.592345995 × 10−7 | 0.262552413 |
1.8 | 0.02732329734 | −0.1819622872 | 4.251088836 × 10−7 | 0.3472611754 |
2. | 0.01831532026 | −0.3032686793 | 3.186323165 × 10−7 | 0.4386039626 |