Research Article
Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems
Table 12
Comparison of the EFG solution with exact and other scheme solutions of Example
4 for
and
.
| | Exact solution | EFG method | [41] | [42] |
| | 0.00 | | | | | | 0.01 | 3.009500 | 3.009567 | 3.009400 | | | 0.02 | 3.019500 | 3.019534 | 3.019500 | 3.019465 | | 0.03 | 3.029500 | 3.029753 | 3.029500 | | | 0.04 | 3.039500 | 3.039727 | 3.039500 | 3.039476 | | 0.05 | 3.049500 | 3.049770 | 3.049500 | | | 0.06 | 3.059500 | 3.059949 | | 3.059494 | | 0.08 | 3.079500 | 3.079712 | | 3.079436 | | 0.10 | 3.099500 | 3.099492 | 3.099500 | 3.099503 | | 0.20 | 3.199500 | 3.199682 | | 3.199500 | | 0.30 | 3.299500 | 3.299199 | 3.299500 | | | 0.40 | 3.399500 | 3.399990 | | 3.399476 | | 0.50 | 3.499500 | 3.499973 | 3.499500 | | | 0.60 | 3.599500 | 3.599599 | | 3.599431 | | 0.70 | 3.699500 | 3.699656 | 3.699500 | | | 0.80 | 3.799500 | 3.799260 | | 3.799473 | | 0.90 | 3.899500 | 3.899348 | 3.899500 | | | 1.00 | 3.999500 | 3.999500 | 3.999500 | 3.999499 |
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