591058.fig.008a
(a)
591058.fig.008b
(b)
Figure 8: Comparison between 4th-order HAM solutions (hollow symbols) and Runge-Kutta numerical solutions (solid lines) for: 𝑥 ( 𝜏 ) , 𝑥 ( 𝜏 ) and 𝑥 ( 𝜏 ) at different values of 𝛽 . (a) 𝛼 = 1 , 𝛽 = 0 . 4 4 3 4 9 5 ( 𝑝 = 3 0 0  Pa), 𝜃 = 1 , 𝑎 = 1 . 0 0 0 0 2 , = 1 . 4 ; (b) 𝛼 = 1 , 𝛽 = 1 . 4 7 8 3 2 ( 𝑝 = 1 0 0 0  Pa), 𝜃 = 1 , 𝑎 = 1 . 0 0 0 0 2 , = 1 . 7 . All parameter values are for a MEB containing 104 electrons with an equilibrium radius 𝑅 𝑐 = 1 . 0 6 4 4 1 μm.