Theory and Modern Applications
Table 3 The absolute errors of approximating \(y_{1,\alpha}\) for \(( 1,1 ) \)-system at various t and \(\alpha=0.5\)
\(t_{i}\) | Exact solution | Approximate solution | Absolute error |
|---|---|---|---|
0 | −0.5 | −0.5 | 0 |
0.2 | −0.4919942732092149 | −0.49155676396105286 | 4.3750924816210457 × 10−4 |
0.4 | −0.4659175034022215 | −0.46513632990261633 | 7.811734996051589 × 10−4 |
0.6 | −0.4186325706793184 | −0.4177266247210882 | 9.059459582302365 × 10−4 |
0.8 | −0.3470103621084155 | −0.34632653813195646 | 6.838239764590526 × 10−4 |
1 | −0.2480352042594187 | −0.24803520425941872 | 0 |