Research Article
Hybrid Fitted Numerical Scheme for Singularly Perturbed Convection-Diffusion Problem with a Small Time Lag
Table 1
Computed
, , and
for Example
1 at
, .
| Method | | N→32 | 64 | 128 | 256 | 512 |
| Present | | 7.4172e-03 | 1.6104e-03 | 3.7310e-04 | 8.4234e-05 | 1.9588e-05 | | 2.2034 | 2.1098 | 2.1471 | 2.1044 | | | 1.3309e-02 | 2.7086e-03 | 6.6643e-04 | 1.5562e-04 | 3.4549e-05 | | 2.2968 | 2.0230 | 2.0984 | 2.1714 | | | 1.3254e-02 | 2.7249e-03 | 6.8167e-04 | 1.6529e-04 | 3.9616e-05 | | 2.2822 | 1.9991 | 2.0440 | 2.0609 | | | 1.3244e-02 | 2.7338e-03 | 6.8823e-04 | 1.6927e-04 | 4.1768e-05 | | 2.2763e | 1.9899 | 2.0236 | 2.0189 | | | 1.3241e-02 | 2.7364e-03 | 6.9006e-04 | 1.7037e-04 | 4.2365e-05 | | 2.2747 | 1.9875 | 2.0180 | 2.0077 | | | 1.3241e-02 | 2.7370e-03 | 6.9055e-04 | 1.7066e-04 | 4.2522e-05 | | 2.2743 | 1.9868 | 2.0166 | 2.0048 | | | 1.3240e-02 | 2.7373e-03 | 6.9073e-04 | 1.7077e-04 | 4.2578e-05 | | 2.2741 | 1.9865 | 2.0161 | 2.0039 | | | 1.3240e-02 | 2.7375e-03 | 6.9101e-04 | 1.7092e-04 | 4.2656e-05 | | 2.2739 | 1.9861 | 2.0154 | 2.0025 | | | 1.3237e-02 | 2.7385e-03 | 6.9201e-04 | 1.7148e-04 | 4.2932e-05 | | 2.2731 | 1.9845 | 2.0128 | 1.9979 | | | 1.3309e-02 | 2.7385e-03 | 6.9201e-04 | 1.7148e-04 | 4.2932e-05 | | 2.2968 | 1.9845e | 2.0128 | 1.9979 | |
| [19] | | 2.9454e-03 | 1.6032e-03 | 8.4467e-04 | 4.3881e-04 | — | | 0.8775 | 0.9245 | 0.9448 | — | |
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