Research Article
A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method
Table 1
Numerical comparison of the exact error function
for
to Example
1 in
.
| | Exact solution | Approximate solution | ADM [33] | Present method |
| | 0.1 | | | 0.1100000 × 10−7 | 2.24265 × 10−14 | | 0.2 | | | 0.1050000 × 10−6 | 1.16032 × 10−11 | | 0.3 | | | 0.1100000 × 10−5 | 4.52287 × 10−10 | | 0.4 | | | 0.6300000 × 10−5 | 6.10802 × 10−9 | | 0.5 | | | 0.2495100 × 10−4 | 4.61478 × 10−8 | | 0.6 | | | 0.7771800 × 10−4 | 2.41471 × 10−7 | | 0.7 | | | 0.2052320 × 10−3 | 9.80606 × 10−7 | | 0.8 | | | 0.4805960 × 10−3 | 3.30793 × 10−6 | | 0.9 | | | 0.1027034 × 10−2 | 9.68478 × 10−6 | | 1.0 | | | 0.2042608 × 10−2 | × 10−5 |
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