Research Article
An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs
Table 1
Convergence order and absolute error for Bratu problem for
and different values of
.
| Iter.
| | 50 | 100 | 150 | 200 |
| | | | | | 1 | 0.000764899 | 0.000765714 | 0.000765861 | 0.000765913 | 2 | | | | | 3 | | | | | 4 | | | | | 5 | | | | | Rate | 2.03003 | 2.03014 | 2.03016 | 2.03017 | 2.00097 | 2.00098 | 2.00098 | 2.00098 | 2.00008 | 2.00008 | 2.00008 | 2.00008 |
| | | | | | 1 | 0.000010196 | 0.0000102072 | 0.0000102092 | 0.0000102099 | 2 | | | | | 3 | | | | | 4 | | | | | Rate | 3.02829 | 3.0284 | 3.02842 | 3.02842 | 2.53302 | 3.00035 | 3.00035 | 3.00035 |
| | | | | | 1 | | | | | 2 | | | | | 3 | | | | | Rate | 4.02691 | 4.02701 | 4.02702 | 4.02703 |
| | | | | | 1 | | | | | 2 | | | | | 3 | | | | | Rate | 5.00878 | 5.02624 | 5.02626 | 5.02627 |
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