Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions

Table 2

Percentage errors for comparison of the approximate frequency with exact frequency for 𝜆₁=𝜆₃=𝜆₅=1.

𝐴	𝜔^agm𝑎	𝜔𝑒	(% error)
0.1	1.00377	1.00377	0.0000
0.3	1.03554	1.03554	0.0000
0.5	1.10657	1.10654	0.0027
1	1.52456	1.52359	0.064
3	7.29201	7.26863	0.32
5	19.2503	19.1815	0.36
8	48.4739	48.2946	0.37
10	75.4588	75.1774	0.37
20	300.355	299.223	0.38
50	1874.66	1867.57	0.38
70	3673.87	3659.98	0.38
100	7497.18	7468.83	0.38
300	67470.75	67215.57	0.38
500	187418.88	186709.04	0.38
700	367339.58	365949.25	0.38
1000	749670.06	746834.69	0.38