Research Article
A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations
Table 3
Absolute errors of Example
2 for
and
| ā | Absolute errors | | | | |
| 0 | 0 | 0 | 0 | 0 | 0.1 | 1.66583e-04 | 2.60335e-06 | 2.13964e-06 | 3.73468e-08 | 0.2 | 0.00133 | 1.88292e-05 | 1.12187e-05 | 1.53195e-07 | 0.3 | 0.00448 | 5.23333e-05 | 2.24296e-05 | 2.16761e-07 | 0.4 | 0.01058 | 8.69376e-05 | 2.71103e-05 | 1.79108e-07 | 0.5 | 0.02057 | 7.69613e-05 | 2.24136e-05 | 2.26104e-07 | 0.6 | 0.03536 | 6.21533e-05 | 2.06813e-05 | 6.36595e-07 | 0.7 | 0.05578 | 4.62827e-04 | 5.84302e-05 | 1.25213e-06 | 0.8 | 0.08264 | 1.31385e-03 | 2.04858e-04 | 4.68499e-07 | 0.9 | 0.11667 | 2.86832e-03 | 5.69792e-04 | 6.33607e-06 | 1 | 0.15853 | 5.45098e-03 | 1.31098e-03 | 2.90151e-05 |
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