Research Article
Solution of Singularly Perturbed Differential-Difference Equations with Mixed Shifts Using Galerkin Method with Exponential Fitting
Table 7
The rate of convergence of the examples with
and
.
| ε↓ | | | | | |
| Example 1 | | 0.6418 | 0.9120 | 1.4357 | 2.0237 | 2.0640 | | 0.7098 | 0.8977 | 1.0114 | 0.9513 | 1.0139 | | 0.6862 | 0.8536 | 0.9180 | 0.9723 | 1.0138 | | 0.6839 | 0.8494 | 0.9095 | 0.9553 | 0.9791 | | 0.6836 | 0.8489 | 0.9087 | 0.9536 | 0.9758 |
| Example 2 | | 1.1839 | 1.5399 | 1.3633 | 1.9110 | 2.0782 | | 0.9112 | 0.9873 | 1.0700 | 1.2109 | 1.4852 | | 0.8898 | 0.9434 | 0.9772 | 1.0024 | 1.0301 | | 0.8877 | 0.9392 | 0.9688 | 0.9854 | 0.9954 | | 0.8875 | 0.9388 | 0.9680 | 0.9837 | 0.9920 |
| Example 3 | | 1.1839 | 1.5398 | 1.3633 | 1.9112 | 2.0779 | | 0.9112 | 0.9872 | 1.0700 | 1.2109 | 1.4853 | | 0.8898 | 0.9433 | 0.9771 | 1.0024 | 1.0300 | | 0.8877 | 0.9391 | 0.9688 | 0.9854 | 0.9954 | | 0.8875 | 0.9387 | 0.9679 | 0.9837 | 0.9920 |
| Example 4 | | 0.8278 | 1.3622 | 1.9692 | 2.0738 | 2.0183 | | 0.7007 | 0.8204 | 0.8989 | 1.0015 | 1.3527 | | 0.7004 | 0.8208 | 0.8992 | 0.9458 | 0.9712 | | 0.7004 | 0.8209 | 0.8994 | 0.9461 | 0.9720 | | 0.7004 | 0.8209 | 0.8994 | 0.9461 | 0.9718 |
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