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Questions on the use of numerical functions NIntegrate and NDSolve.

1 vote
2 answers
2k views

NDSolve solution for driven damped pendulum diverges

I want to solve numerically for the system of the driven damped pendulum using Mathematica. This is the second-order nonlinear equation \begin{equation} \ddot{x} + 2 \beta \dot{x}+ \omega_0^2 \sin …
PianoEntropy's user avatar
4 votes
1 answer
798 views

Differentiating ParametricNDSolve solutions

Is there any way to differentiate a solution obtained by ParametricNDSolve? For instance, I have the position $\phi_\gamma(t)$ as a function of time, parametrized by the constant $\gamma$. Now I want …
PianoEntropy's user avatar
2 votes
1 answer
234 views

NDSolve unable to solve system of PDEs

I'm trying to solve a set of PDEs and am running into problems. The system is defined by: As can be seen, there are two dynamical equations for $\rho$ and $\phi$, but the equation for $v$ has no time …
PianoEntropy's user avatar