Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

Figure 4

Comparison between HAM approximations (hollow symbols) and Runge-Kutta numerical solutions (solid lines) for 𝑟(𝜏) (circles), 𝑟^(𝜏) (squares), and 𝑟^(𝜏) (stars); (a) 2nd-order approximation, (b) 5th-order approximation. The parameters for both the HAM and numerical solutions were set to: 𝜉=1.15, 𝛼=1, 𝜃=0.999939, ℎ=−2.3.

(a)

(b)