Research Article
A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
Table 5
Numerical results of Example
4:
and
.
| | Analytic solution | Approximate solution | Error by proposed method |
| 0.0 | 1 | 1 | 0 | 0.1 | 0.9976666667 | 0.9980508018 | 0.0003841351 | 0.2 | 0.9913333333 | 0.9927028673 | 0.0013695340 | 0.3 | 0.9820000000 | 0.9847044600 | 0.0013695340 | 0.4 | 0.9706666667 | 0.9748013302 | 0.0041346635 | 0.5 | 0.9583333333 | 0.9637358441 | 0.0054025108 | 0.6 | 0.9460000000 | 0.9522463844 | 0.0062463844 | 0.7 | 0.9346666667 | 0.9410670255 | 0.0064003588 | 0.8 | 0.9253333333 | 0.9309274865 | 0.0055941532 | 0.9 | 0.9190000000 | 0.9225533666 | 0.0035533666 | 1.0 | 0.9166666667 | 0.9166666692 | 0 |
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