Table 1 Approves the convergence of the numerical result of \(u(t)\) and the comparable NPA result \(g(t)\).

From: Effects of strong parametric excitation on cantilever beam: non-perturbative approach

t

Numerical

Equivalent

Absolute error

Relative error

0

0.3

0.3

0.

0.

5

0.0385536

0.0492748

0.0107213

0.278087

10

− 0.225546

− 0.283813

0.0582674

0.258339

15

− 0.0927127

− 0.142507

0.0497945

0.537084

20

0.15196

0.237

0.0850396

0.559618

25

0.115195

0.220361

0.105166

0.912936

30

− 0.0879005

− 0.164611

0.9767109

0.872702