Research Article
A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method
Table 2
Numerical comparison of the exact error function
for
to Example
1 in
.
| | Exact solution | Approximate solution | ADM [33] | Present method |
| | 0.1 | | | 0.2000000 × 10−8 | 3.10862 × 10−15 | | 0.2 | | | 0.9200000 × 10−7 | 1.72173 × 10−12 | | 0.3 | | | 0.1061000 × 10−5 | 7.21727 × 10−11 | | 0.4 | | | 0.6065000 × 10−5 | 1.04092 × 10−9 | | 0.5 | | | 0.2355100 × 10−4 | 8.34920 × 10−9 | | 0.6 | | | 0.7165000 × 10−4 | 4.61418 × 10−8 | | 0.7 | | | 0.1842280 × 10−3 | 1.97011 × 10−7 | | 0.8 | | | 0.4188780 × 10−3 | 6.95942 × 10−7 | | 0.9 | | | 0.8671680 × 10−3 | 2.12603 × 10−6 | | 1.0 | | | 0.1667496 × 10−2 | 5.78946 × 10−6 |
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