Analytical Solution for the Cubic-Quintic Duffing Oscillator Equation with Physics Applications

Table 2

Error of approximating the Jacobian cn function by means of the cosine function (8) with T = 4K(m).

m	Error	m	Error
−1	0.000074	0	0
−0.95	0.000063	0.05	2.002e −9
−0.9	0.000054	0.1	3.52e −8
−0.85	0.0000452	0.15	1.98e −7
−0.8	0.0000378	0.2	6.93e −7
−0.75	0.00003	0.25	1.89e −6
−0.7	0.000025	0.3	4.40e −6
−0.65	0.000012	0.35	9.22e −6
−0.6	0.000015	0.4	0.000018
−0.55	0.000011	0.45	0.000033
−0.5	8.37e −6	0.5	0.00006
−0.45	5.88e −6	0.55	0.0000991
−0.4	3.94e −6	0.6	0.00017
−0.35	2.48e −6	0.65	0.00023
−0.3	1.44e −6	0.7	0.00045
−0.25	7.5e −7	0.75	0.00074
−0.2	3.322e −7	0.8	0.0012
−0.15	1.145e −7	0.85	0.0021
−0.1	2.44e −8	0.9	0.0036
−0.05	1.67e −9	0.95	0.015