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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
…
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 …
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 …