Research Article
Subdivision Collocation Method for One-Dimensional Bratu’s Problem
Table 5
Comparison between numerical results of (
2) for case
.
| | Exact solution | By subdivision collection algorithm | By [25] | By [5] |
| 0.0 | 0.0000000000 | 0.000000000000000 | 0.0000000000 | 0.0000000000 | 0.1 | 0.1144107440 | 0.114248449272834 | 0.0991935000 | 0.1122817141 | 0.2 | 0.2064191156 | 0.206065066411653 | 0.1917440000 | 0.2022094162 | 0.3 | 0.2738793116 | 0.273375407642615 | 0.2679915000 | 0.2676925058 | 0.4 | 0.3150893646 | 0.314489410524746 | 0.3183360000 | 0.3070874506 | 0.5 | 0.3289524214 | 0.328319028557975 | 0.3359375000 | 0.3193532294 | 0.6 | 0.3150893646 | 0.314489410524746 | 0.3183360000 | 0.3041598403 | 0.7 | 0.2738793116 | 0.273375407642615 | 0.2679915000 | 0.2619458909 | 0.8 | 0.2064191156 | 0.206065066411653 | 0.1917440000 | 0.1940413072 | 0.9 | 0.1144107440 | 0.114248449272835 | 0.0991935000 | 0.1035373785 | 1.0 | 0.0000000000 | 0.000000000000000 | 0.0000000000 | 0.0000000000 |
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