Theory and Modern Applications
\(t_{i}\) | Exact solution | Approximate solution | Absolute error |
---|---|---|---|
0 | −0.5 | −0.5000000000000001 | 1.1102230246251565 × 10−16 |
0.2 | −0.4893347110786599 | −0.4887536023044621 | 5.811087741978138 × 10−4 |
0.4 | −0.45471216929013725 | −0.45368890889731417 | 1.0232603928230777 × 10−3 |
0.6 | −0.3923561778762831 | −0.3911974694888205 | 1.1587083874625703 × 10−3 |
0.8 | −0.298878446816582 | −0.2980336644678224 | 8.447823487595651 × 10−4 |
1 | −0.1715140126819416 | −0.17151401268194177 | 1.6653345369377348 × 10−16 |