Research Article
The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators
Table 1
Comparison of the approximate frequencies with the exact frequency, Example 1.
| | | | | | . error (%) | | . error (%) |
| 0.1 | 0.5 | 0.1 | 0.7076 | 0.7076 | 0.0000 | 0.7076 | 0.0000 | 0.5 | 0.1 | 2 | 0.6800 | 0.6892 | 1.3501 | 0.6782 | 0.2647 | 1 | 2 | 0.5 | 1.5403 | 1.5411 | 0.0520 | 1.5362 | 0.2662 | 2 | 5 | 2 | 3.2958 | 3.3166 | 0.6313 | 3.2802 | 0.4733 | 5 | 2 | 5 | 9.5818 | 9.7852 | 2.1228 | 9.5917 | 0.1033 | 10 | 1 | 0.5 | 6.0722 | 6.2048 | 2.0994 | 6.0828 | 0.1746 | 15 | 0.5 | 2 | 17.9866 | 18.3848 | 2.2135 | 18.0139 | 0.1518 | 20 | 5 | 1 | 17.0977 | 17.4642 | 2.1436 | 17.1172 | 0.1141 |
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