Research Article
A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
Table 3
Numerical results of Example
3:
.
| | Analytic solution | Approximate solution | Error by proposed method |
| 0.0 | 1 | 1 | 0 | 0.1 | 0.9048374180 | 0.9045439989 | 0.0002934191 | 0.2 | 0.8187307531 | 0.8177120092 | 0.0010187439 | 0.3 | 0.7408182207 | 0.7388586762 | 0.0019595445 | 0.4 | 0.6703200460 | 0.6674013997 | 0.0029186463 | 0.5 | 0.6065306597 | 0.6028146540 | 0.0037160057 | 0.6 | 0.5488116363 | 0.5446245817 | 0.0041870544 | 0.7 | 0.4965853038 | 0.4924038346 | 0.0041814692 | 0.8 | 0.4493289641 | 0.4457666384 | 0.0035623257 | 0.9 | 0.4065696597 | 0.4043640577 | 0.0022056020 | 1.0 | 0.3678794412 | 0.3678794412 | 0 |
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