Research Article
Solution of Singularly Perturbed Differential-Difference Equations with Mixed Shifts Using Galerkin Method with Exponential Fitting
Table 2
The maximum errors in solution of Example
1 with
.
| | | | | |
| Present method | δ↓ | | 0.00 | 0.03724038 | 0.00231155 | 0.00014202 | 8.8820e − 006 | 0.05 | 0.03707062 | 0.00237565 | 0.00014565 | 9.0928e − 006 | 0.09 | 0.03669100 | 0.00241210 | 0.00014764 | 9.2248e − 006 | η↓ | | 0.00 | 0.03720017 | 0.00234619 | 0.00014399 | 8.9938e − 006 | 0.05 | 0.03707062 | 0.00237565 | 0.00014565 | 9.0928e − 006 | 0.09 | 0.03690625 | 0.00239551 | 0.00014675 | 9.1626e − 006 |
| Results in Kadalbajoo and Sharma [10] | δ↓ | | 0.00 | 0.09190267 | 0.03453494 | 0.01164358 | 0.00300463 | 0.05 | 0.10233615 | 0.03823132 | 0.01295871 | 0.00335137 | 0.09 | 0.11018870 | 0.04110846 | 0.01400144 | 0.00362925 | η↓ | | 0.00 | 0.09720079 | 0.03640446 | 0.01229476 | 0.00317786 | 0.05 | 0.10233615 | 0.03823132 | 0.01295871 | 0.00335137 | 0.09 | 0.10632014 | 0.03965833 | 0.01348348 | 0.00349050 |
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