Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method

Figure 9

Comparison of the first- and second-order analytical approximate solutions with the exact solution for 𝑚₁=1.0, 𝑚₂=2.0, 𝑘₁=5.0, 𝑘₂=1.0 with 𝑥(0)=−4.0 and 𝑦(0)=1.0 (Case  3).

(a) (𝑥-𝑡) diagram

(b) (𝑦-𝑡) diagram