Solving Rayleigh-Plesset(RP) equation from time domain to space domain.

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The Rayleigh-Plesset equation is shown below:
Now, I want to use the Runge-Kutta-Fehlberg(RKF) method to solve the RP equation from time domain to space domain (Fig.a).
The following procedure is from my thoughts, is it reasonable to present the RP equation in terms of location?

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