Research Article
The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators
Table 5
Comparison of the approximate frequencies, Example 5.
| | [23] | [34] | . error (%) | | . error (%) |
| 0 | 1.00000 | 1.000000 | 0.00000 | 1.000000 | 0.00000 | 1 | | | 2.03313 | | 10.10847 | 2 | | | 3.62649 | | 8.680304 | 3 | | | 4.69039 | | 7.72281 | 4 | | | 5.45295 | | 7.037311 | 5 | | | 6.03179 | | 6.517881 | 6 | | | 6.48627 | | 6.110074 | 7 | | | 6.85704 | | 5.779148 | 8 | | | 7.16298 | | 5.504079 | 9 | | | 7.42243 | | 5.272273 | 10 | | | 7.64509 | | 5.07269 | 50 | | | 9.93668 | | 3.028171 | 500 | | | 10.8938 | | 2.17776 | | | | 11.07200 | | 2.02100 |
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