Table 2 Comparison of the collocation method with fourth-order Runge–Kutta method
\(D_{{\text{u}}}\) | \(S_{{\text{t}}}\) | \(E_{{\text{c}}}\) | \(k_{1}\) | \(R_{{\text{d}}}\) | Collocation method | \(4{\text{th}}\) order \(R\)-\(K\) | \(\left| d \right|\) |
|---|---|---|---|---|---|---|---|
0.3 | Â | Â | Â | Â | 5.10354 | 5.10354 | 0.00000 |
0.6 | Â | Â | Â | Â | 5.13080 | 5.13080 | 0.00000 |
| Â | 0.2 | Â | Â | Â | 5.08704 | 5.08704 | 0.00000 |
| Â | 0.6 | Â | Â | Â | 5.14038 | 5.14038 | 0.00000 |
| Â | Â | 0.05 | Â | Â | 5.09275 | 5.09272 | 0.00003 |
| Â | Â | 0.07 | Â | Â | 5.09561 | 5.09557 | 0.00004 |
| Â | Â | Â | 0.3 | Â | 5.04433 | 5.04432 | 0.00001 |
| Â | Â | Â | 0.7 | Â | 4.98716 | 4.98715 | 0.00001 |
| Â | Â | Â | Â | 0.7 | 5.13774 | 5.13773 | 0.00001 |
| Â | Â | Â | Â | 1.7 | 5.08322 | 5.08321 | 0.00001 |