The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators

Table 4

Comparison of the approximate periods with the exact periods, Example 3.

		[18]	[5]	. error (%)		. error (%)	[16]	. error (%)
0.1	0.1	6.62168	6.621237	0.00669	6.62174	0.00091	6.62169	0.00011
1	0.1	6.537508	6.517854	0.30063	6.53806	0.00844	6.53573	0.02723
10	0.1	6.322938	6.314678	0.13064	6.32097	0.03112	6.32006	0.04558
100	0.1	6.287182	6.286329	0.01357	6.28696	0.00353	6.28687	0.00498
0.1	0.5	8.869257	8.863794	0.06159	8.86990	0.00725	8.86925	0.0001
1	0.5	7.992133	7.814722	2.21982	7.99408	0.02436	7.97282	0.2416
10	0.5	6.490208	6.445572	0.68774	6.47925	0.16884	6.47431	0.24498
100	0.5	6.303280	6.298952	0.06866	6.30214	0.01809	6.30167	0.02557
0.1	0.75	12.49673	12.47385	0.18309	12.49943	0.02161	12.4967	0.00041
1	0.75	9.625404	9.168186	4.75012	9.61936	0.06279	9.56406	0.63733
10	0.75	6.602092	6.531632	1.06724	6.58442	0.26767	6.57665	0.38536
100	0.75	6.313404	6.306879	0.10335	6.31168	0.02731	6.31097	0.03854
0.1	0.95	27.15679	26.86136	1.08787	27.18975	0.12137	27.1540	0.01043
1	0.95	12.075277	10.96676	9.18005	12.00887	0.54994	11.8737	1.66932
10	0.95	6.696117	6.60302	1.39031	6.67235	0.35494	6.66211	0.50781
100	0.95	6.321539	6.313243	0.13123	6.31934	0.03479	6.31844	0.04897