Research Article
Subdivision Collocation Method for One-Dimensional Bratu’s Problem
Table 2
Comparison between the numerical results of (
2) for
.
| | Exact solution | By [25] | By subdivision collection algorithm |
| 0.0 | 0.0000000000 | 0.0000000000 | 0.000000000000000 | 0.1 | 0.0498467900 | 0.0471616875 | 0.049835942666664 | 0.2 | 0.0891899350 | 0.0871680000 | 0.089157036980790 | 0.3 | 0.1176090956 | 0.1177614375 | 0.117560379925558 | 0.4 | 0.1347902526 | 0.1369920000 | 0.134731783666151 | 0.5 | 0.1405392142 | 0.1435546875 | 0.140477341442747 | 0.6 | 0.1347902526 | 0.1369920000 | 0.134731783666151 | 0.7 | 0.1176090956 | 0.1177614375 | 0.117560379925558 | 0.8 | 0.0891899350 | 0.0871680000 | 0.089157036980790 | 0.9 | 0.0498467900 | 0.0471616875 | 0.049835942666663 | 1.0 | 0.0000000000 | 0.0000000000 | 0.000000000000000 |
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