Research Article
Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions
Table 4
Relative error between CHCM and exact values for Example
3.
| | Exact solution | CHCM (60 elements) | Relative error |
| 0.1 | 0.100042548871756 | 0.100042549016137 | | 0.2 | 0.110172999814179 | 0.110173000081150 | | 0.3 | 0.131412868154409 | 0.131412868530861 | | 0.4 | 0.165903899721862 | 0.165903900198008 | | 0.5 | 0.217124036179286 | 0.217124036742860 | | 0.6 | 0.290238117151979 | 0.290238117780922 | | 0.7 | 0.392618682595762 | 0.392618683248041 | | 0.8 | 0.534589391091750 | 0.534589391690484 | | 0.9 | 0.730466017481367 | 0.730466017892698 | | 1.0 | 1 | 1 | 0 |
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