Theory and Modern Applications
\(t_{i}\) | Exact solution | Approximate solution | Absolute error |
---|---|---|---|
0 | 0.5 | 0.5 | 0 |
0.2 | 0.4919942732092149 | 0.49155676396105263 | 4.375092481623266 × 10−4 |
0.4 | 0.4659175034022215 | 0.46513632990261655 | 7.811734996049369 × 10−4 |
0.6 | 0.4186325706793184 | 0.41772662472108835 | 9.059459582300699 × 10−4 |
0.8 | 0.3470103621084155 | 0.34632653813195679 | 6.838239764587195 × 10−4 |
1 | 0.2480352042594187 | 0.24803520425941916 | 4.440892098500626 × 10−16 |