Research Article
A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
Table 6
Numerical results of Example
4:
and
.
| | Analytic solution | Approximate solution | Error by proposed method |
| 0.0 | 1 | 1 | 0 | 0.1 | 0.9976666667 | 0.9980024045 | 0.0003357378 | 0.2 | 0.9913333333 | 0.9925110306 | 0.0011776973 | 0.3 | 0.9820000000 | 0.9842830603 | 0.0022830603 | 0.4 | 0.9706666667 | 0.9740862436 | 0.0034195769 | 0.5 | 0.9583333333 | 0.9627028681 | 0.0043695348 | 0.6 | 0.9460000000 | 0.9509327630 | 0.0049327630 | 0.7 | 0.9346666667 | 0.9395952385 | 0.0049285718 | 0.8 | 0.9253333333 | 0.9295297470 | 0.0041964137 | 0.9 | 0.9190000000 | 0.9215950588 | 0.0025950588 | 1.0 | 0.9166666667 | 0.9166666667 | 0 |
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