Approximate Periodic Solution for the Nonlinear Helmholtz-Duffing Oscillator via Analytical Approaches

Table 4

Comparison between MMA, FHA, SHA, FGEM, and SGEM results with exact ones ().

		(relative error %)	(relative error %)	(relative error %)	(relative error %)
0.01	6.282949702	6.282949704; (0.000000032)	6.282949698; (0.000000063)	6.282953782; (0.000064937)	6.282949704; (0.000000032)
0.1	6.259762302	6.259755078; (0.000115404)	6.259750255; (0.0001924513)	6.260158455; (0.006328562)	6.259762297; (0.00000008)
10	0.736288961	0.720730784; (2.113053139)	0.7113585054; (3.385960801)	0.7269670459; (1.266067481)	0.7337722018; (0.3418167776)
50	0.148282774	0.1450652702; (2.169843275)	0.1431321874; (3.473489510)	0.1463367452; (1.312376851)	0.1477516413; (0.3581890773)
100	0.074157585	0.0725471382; (2.171654781)	0.07157966046; (3.476278981)	0.0731832605; (1.313856823)	0.07389156930; (0.3587167786)