Research Article
Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme
Table 3
Maximum absolute point-wise error and rate of convergence for Example
3 before and after Richardson extrapolation method applied, where
, , and
.
| M,N | 8,8 | 16,16 | 32,32 | 64,64 | 128,128 | Before | | 6.1105-03 | 4.0192-03 | 2.4412-03 | 1.4312-03 | 7.9252-04 | | 6.5144-03 | 4.2051-03 | 2.5534-03 | 1.4901-03 | 8.2602-04 | | 6.5190-03 | 4.2076-03 | 2.5547-03 | 1.4908-03 | 8.2641-04 | | 6.5190-03 | 4.2076-03 | 2.5547-03 | 1.4908-03 | 8.2641-04 | | 6.5190-03 | 4.2076-03 | 2.5547-03 | 1.4908-03 | 8.2641-04 | | | | | | | | 6.5190-03 | 4.2076-03 | 2.5547-03 | 1.4908-03 | 8.2641-04 |
| After | | 1.9128-03 | 9.9156-04 | 4.3385-04 | 2.1411-04 | 4.8046-05 | | 2.0383-03 | 1.0236-03 | 4.5811-04 | 2.1921-04 | 5.4179-05 | | 2.0407-03 | 1.0240-03 | 4.5837-04 | 2.1924-04 | 5.4255-05 | | 2.0407-03 | 1.0240-03 | 4.5837-04 | 2.1924-04 | 5.4256-05 | | 2.0407-03 | 1.0240-03 | 4.5837-04 | 2.1924-04 | 5.4256-05 | | | | | | | | 2.0407-03 | 1.0240-03 | 4.5837-04 | 2.1924-04 | 5.4256-05 |
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