Approximate Periodic Solutions for Oscillatory Phenomena Modelled by Nonlinear Differential Equations

Table 5

Comparison of the absolute errors corresponding to the solution 𝑥_HPM from [3] and to our solution 𝑥₃.

	𝑥HPM	𝑥3
𝑡=0	0	0
𝑡=1.0	1.72354316028⋅10^−2	2.11130244099⋅10^−4
𝑡=2.0	2.3307287671⋅10^−2	1.31078376172⋅10^−4
𝑡=3.0	1.79768181549⋅10^−2	3.46325784747⋅10^−4
𝑡=4.0	4.72752471124⋅10^−3	8.73925906836⋅10^−4
𝑡=5.0	1.46107699703⋅10^−2	1.42164922819⋅10^−3
𝑡=6.0	3.05145610435⋅10^−2	1.51326363254⋅10^−3
𝑡=7.0	3.04290934289⋅10^−2	8.83072635498⋅10^−4
𝑡=8.0	1.45339383549⋅10^−2	7.00497125303⋅10^−4
𝑡=9.0	6.86925713324⋅10^−3	2.00167777983⋅10^−3
𝑡=10.0	2.91276307352⋅10^−2	2.84571545126⋅10^−3