Research Article

An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure

Table 4

Comparison of the approximate frequency-amplitude relations with exact results of .


Er (%)

Er (%)

Er (%)

Er (%)

0.15.54344
3.4
5.32326
0.68
5.37561
0.29
5.36609
0.12
5.35964
0.51.89583
3.4
1.82053
0.68
1.83843
0.29
1.83518
0.12
1.83297
11.19430
3.4
1.14686
0.68
1.15814
0.29
1.15609
0.12
1.15470
50.40844
3.4
0.39222
0.68
0.39608
0.29
0.39538
0.12
0.39490
100.25730
3.4
0.24708
0.68
0.24951
0.29
0.24907
0.12
0.24877
500.08780
3.4
0.08450
0.68
0.08533
0.29
0.08518
0.12
0.08508
1000.05543
3.4
0.05323
0.68
0.05376
0.29
0.05366
0.12
0.05360
5000.01896
3.4
0.01821
0.68
0.01838
0.29
0.01835
0.12
0.01833
10000.01194
3.4
0.01147
0.68
0.01158
0.29
0.01156
0.12
0.01155