α | Exact solution | Approximate solution | Error | |||
---|---|---|---|---|---|---|
\(\underline{u} \left( {x,\alpha } \right)\) | \(\bar{u}\left( {x,\alpha } \right)\) | \(\underline{u} \left( {x,\alpha } \right)\) | \(\bar{u}\left( {x,\alpha } \right)\) | \(\underline{E} \left( {x,\alpha } \right)\) | \(\bar{E}\left( {x,\alpha } \right)\) | |
0 | 0 | 3.00000 | 0 | 2.98221 | 0 | 0.01779 |
0.1 | 0.150000 | 2.85000 | 0.148744 | 2.83473 | 0.001256 | 0.01527 |
0.2 | 0.300000 | 2.70000 | 0.297259 | 2.68701 | 0.002741 | 0.01299 |
0.3 | 0.450000 | 2.55000 | 0.445361 | 2.53908 | 0.004639 | 0.01092 |
0.4 | 0.600000 | 2.40000 | 0.599574 | 2.39095 | 0.000426 | 0.00905 |
0.5 | 0.750000 | 2.25000 | 0.749317 | 2.24261 | 0.000683 | 0.00739 |
0.6 | 0.900000 | 2.10000 | 0.899174 | 2.09409 | 0.000826 | 0.00591 |
0.7 | 1.050000 | 1.95000 | 1.049622 | 1.94538 | 0.000378 | 0.00462 |
0.8 | 1.200000 | 1.80000 | 1.199686 | 1.79650 | 0.000314 | 0.00350 |
0.9 | 1.350000 | 1.65000 | 1.349564 | 1.64746 | 0.000436 | 0.00254 |
1 | 1.500000 | 1.50000 | 1.499300 | 1.49827 | 0.000700 | 0.00173 |