Research Article
Solution of Singularly Perturbed Differential-Difference Equations with Mixed Shifts Using Galerkin Method with Exponential Fitting
Table 3
The maximum errors in solution of Example
2.
| ε↓ | | | | | | |
| Present method , | | 0.00470784 | 0.00123359 | 0.00029344 | 7.2455e − 005 | 1.8125e − 005 | 4.5281e − 006 | | 0.01585466 | 0.00697845 | 0.00240001 | 0.00093287 | 0.00024806 | 5.8741e − 005 | | 0.01910533 | 0.01015879 | 0.00512445 | 0.00244082 | 0.00105444 | 0.00037664 | | 0.01944288 | 0.01049291 | 0.00545649 | 0.00277170 | 0.00138358 | 0.00067752 | | 0.01947677 | 0.01052645 | 0.00548983 | 0.00280492 | 0.00141674 | 0.00071065 | | 0.01948016 | 0.01052981 | 0.00549316 | 0.00280824 | 0.00142006 | 0.000713967 |
| Results in Kadalbajoo and Sharma [10] | | 0.08579690 | 0.05129568 | 0.03202130 | 0.01924723 | 0.01098354 | 0.00553597 | | 0.13376506 | 0.07641301 | 0.04217226 | 0.02199778 | 0.01119974 | 0.00570769 | | 0.14592663 | 0.08510734 | 0.04913737 | 0.02610883 | 0.01352749 | 0.00688074 | | 0.14724390 | 0.08606013 | 0.04992817 | 0.02658125 | 0.01380553 | 0.00703026 | | 0.14737676 | 0.08615634 | 0.05000834 | 0.02662921 | 0.01383380 | 0.00704546 | | 0.14739006 | 0.08616597 | 0.05001637 | 0.02663401 | 0.01383663 | 0.00704699 |
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