On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components

Table 3

The minimum values of 𝑅𝑋(ħ^∗) and 𝑅𝑌(ħ^∗) for various orders of approximations.

𝑚	𝑋(𝑇)		𝑌(𝑇)
	ħ^∗	Minimum 𝑅𝑋(ħ^∗)	ħ^∗	Minimum 𝑅𝑌(ħ^∗)
4	−0.950213	1.60718×10^−12	−0.950432	2.54142×10^−8
5	−0.973770	3.80411×10^−15	−0.971307	3.62018×10^−11
6	−0.983485	3.84892×10^−18	−0.993411	4.43599×10^−14