Research Article
An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure
Table 4
Comparison of the approximate frequency-amplitude relations with exact results of
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| | Er (%) | Er (%) | Er (%) | Er (%) | |
| 0.1 | 5.54344 3.4 | 5.32326 0.68 | 5.37561 0.29 | 5.36609 0.12 | 5.35964 | 0.5 | 1.89583 3.4 | 1.82053 0.68 | 1.83843 0.29 | 1.83518 0.12 | 1.83297 | 1 | 1.19430 3.4 | 1.14686 0.68 | 1.15814 0.29 | 1.15609 0.12 | 1.15470 | 5 | 0.40844 3.4 | 0.39222 0.68 | 0.39608 0.29 | 0.39538 0.12 | 0.39490 | 10 | 0.25730 3.4 | 0.24708 0.68 | 0.24951 0.29 | 0.24907 0.12 | 0.24877 | 50 | 0.08780 3.4 | 0.08450 0.68 | 0.08533 0.29 | 0.08518 0.12 | 0.08508 | 100 | 0.05543 3.4 | 0.05323 0.68 | 0.05376 0.29 | 0.05366 0.12 | 0.05360 | 500 | 0.01896 3.4 | 0.01821 0.68 | 0.01838 0.29 | 0.01835 0.12 | 0.01833 | 1000 | 0.01194 3.4 | 0.01147 0.68 | 0.01158 0.29 | 0.01156 0.12 | 0.01155 |
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