Theory and Modern Applications
\(t_{i}\) | Exact solution | Approximate solution | Absolute error |
---|---|---|---|
0 | 0.5 | 0.5000000000000002 | 2.220446049250313 × 10−16 |
0.2 | 0.4893347110786599 | 0.4887536023044618 | 5.811087741980914 × 10−4 |
0.4 | 0.45471216929013725 | 0.45368890889731406 | 1.0232603928231887 × 10−3 |
0.6 | 0.3923561778762831 | 0.3911974694888207 | 1.1587083874623483 × 10−3 |
0.8 | 0.298878446816582 | 0.2980336644678221 | 8.447823487598982 × 10−4 |
1 | 0.1715140126819416 | 0.17151401268194189 | 2.7755575615628914 × 10−16 |