Comparative Solution of Nonlinear Quintic Cubic Oscillator Using Modified Homotopy Perturbation Method

Table 1

Comparison of HPM, He’s frequency, energy balance method, global error method, and exact solution.

(amplitude)	Modified HPM	Energy balance method	He’s frequency	Global error minimization method	Exact
0.2	1.0724	1.0826	1.0998	1.0726	1.0720
0.5	1.1954	1.4701	1.4764	1.2438	1.1846
1	1.9947	1.9254	1.9635	2.3262	1.3778
5	2.0017	2.5217	2.5321	2.1980	2.1504
10	2.3434	2.7423	2.8984	2.9463	2.8666
100	7.1033	8.1798	8.1975	8.8327	8.5336