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

Table 1

Error of approximating the Jacobian cn function by means of the cosine function (7) with T = 4K(m).

m	Error	m	Error
−1	0.0068	0	0
−0.95	0.00624	0.05	0.0000332
−0.9	0.005742	0.1	0.00014
−0.85	0.0053	0.15	0.00033
−0.8	0.0045	0.2	0.00061
−0.75	0.0043	0.25	0.0010
−0.7	0.0039	0.3	0.00153
−0.65	0.00344	0.35	0.00212
−0.6	0.00301	0.4	0.003
−0.55	0.00261	0.45	0.0041
−0.5	0.00222	0.5	0.0054
−0.45	0.00186	0.55	0.007
−0.4	0.001517	0.6	0.009
−0.35	0.0012	0.65	0.0116
−0.3	0.0009	0.7	0.0145
−0.25	0.00066	0.75	0.0188
−0.2	0.00044	0.8	0.0241
−0.15	0.00025	0.85	0.0314
−0.1	0.00012	0.9	0.042
−0.05	0.000031	0.95	0.059