Research Article
Nonpolynomial Spline Method for Singularly Perturbed Time-Dependent Parabolic Problem with Two Small Parameters
Table 2
The comparison of the rate of convergence of the proposed scheme for Example
1 where
and different values of
.
| | | | | | | | | | | | | |
| Current method after extrapolation | | 1.9411 | 1.9706 | 1.9848 | 1.9924 | 1.9961 | 1.9967 | | 1.9367 | 1.8483 | 2.1032 | 1.9918 | 1.9960 | 1.9987 | | 1.9373 | 1.9676 | 1.9834 | 1.9917 | 1.9958 | 1.9989 | | 1.9370 | 1.9656 | 1.9854 | 1.9917 | 1.9958 | 1.9975 | | 1.9370 | 1.9675 | 1.9835 | 1.9917 | 1.9959 | 1.9979 |
| Current method before extrapolation | | 0.9482 | 0.9738 | 0.9871 | 0.9935 | 0.9967 | 0.9984 | | 0.9513 | 0.9753 | 0.9875 | 0.9938 | 0.9969 | 0.9985 | | 0.9517 | 0.9757 | 0.9877 | 0.9939 | 0.9969 | 0.9985 | | 0.9518 | 0.9757 | 0.9878 | 0.9939 | 0.9969 | 0.9985 | | 0.9518 | 0.9758 | 0.9878 | 0.9939 | 0.9969 | 0.9985 |
| Method in [30] | | 1.19 | 1.11 | 1.06 | 1.03 | 1.01 | 1.01 | | 1.20 | 1.11 | 1.06 | 1.03 | 1.02 | 1.01 | | 1.20 | 1.11 | 1.06 | 1.03 | 1.02 | 1.01 | | 1.20 | 1.11 | 1.06 | 1.03 | 1.02 | 1.01 | | 1.20 | 1.11 | 1.06 | 1.03 | 1.02 | 1.01 |
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