Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

Figure 7

Amplitude-time response curves of the finite extensibility nonlinear oscillator for which 𝛼₁=1, 𝛼₂=1, 𝛼₃=−1, 𝜆₁=0, 𝜆₂=1, and 𝐴=0.9953 with a fitting parameter value of 𝜎=0.9985. Here, the red dashed line, the black dots, and the black solid line represent the enhance cubication solution, Beléndez et al. approximate solution, and the numerical integration solution of (23), respectively.