Research Article
Hybrid Fitted Numerical Scheme for Singularly Perturbed Convection-Diffusion Problem with a Small Time Lag
Table 2
Computed
, , and
for Example
2 at
, .
| Method | | N→32 | 64 | 128 | 256 | 512 |
| Present | | 7.3197e-02 | 1.6164e-02 | 3.9632e-03 | 1.0028e-03 | 2.5984e-04 | | 2.1790 | 2.0280 | 1.9827 | 1.9483 | | | 7.0418e-02 | 1.5592e-02 | 3.8049e-03 | 9.5202e-04 | 2.4123e-04 | | 2.1752 | 2.0348 | 1.9988 | 1.9806 | | | 6.9688e-02 | 1.5431e-02 | 3.7564e-03 | 9.3481e-04 | 2.3431e-04 | | 2.1751 | 2.0384 | 2.0066 | 1.9962 | | | 6.9502e-02 | 1.5391e-02 | 3.7448e-03 | 9.3075e-04 | 2.3270e-04 | | 2.1750 | 2.0392 | 2.0084 | 1.9999 | | | 6.9452e-02 | 1.5387e-02 | 3.7460e-03 | 9.3186e-04 | 2.3336e-04 | | 2.1743 | 2.0383 | 2.0072 | 1.9975 | | | 6.9425e-02 | 1.5411e-02 | 3.7629e-03 | 9.4068e-04 | 2.3775e-04 | | 2.1715 | 2.0340 | 2.0001 | 1.9843 | | | 6.9360e-02 | 1.5513e-02 | 3.8335e-03 | 9.7707e-04 | 2.5572e-04 | | 2.1606 | 2.0168 | 1.9721 | 1.9339 | | | 6.9112e-02 | 1.5927e-02 | 4.1170e-03 | 1.1253e-03 | 3.3204e-04 | | 2.1174 | 1.9519 | 1.8712 | 1.7609 | | | 7.3197e-02 | 1.6164e-02 | 4.1170e-03 | 1.1253e-03 | 3.3204e-04 | | 2.1790 | 2.0280 | 1.8712 | 1.7609 | |
| [18] | | 4.9224e-02 | 2.6666e-02 | 1.3880e-02 | 7.0816e-03 | — | | 0.88436 | 0.94199 | 0.97086 | — | |
| [19] | | 2.1953e-02 | 1.1908e-02 | 6.1994e-03 | 3.1627e-03 | — | | 0.88249 | 0.94173 | 0.97097 | — | |
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