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zwicker-group / py-pde

Python package for solving partial differential equations using finite differences.
https://py-pde.readthedocs.io
MIT License
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Custom PDE #479

Closed GerasimovIV closed 11 months ago

GerasimovIV commented 11 months ago

Hello, thank you for your great work! I am trying to find the tool for solving pde system of type:

$$ \begin{cases} \frac{\partial u}{\partial t} = f(u, v) \ \frac{\partial v}{\partial y} = g(u, v) \ \end{cases} $$

Where u and v are functions: u=u(x, y, t) and v=v(x, y, t) I have looked at all examples from your library and documentation for custom systems setup but I am still not sure is it possible to solve with py-pde my system or it is not. Can you comment? Or give some hints? (of course we suppose that all: boundary and initial condition for the existence and uniqueness of the solution are given)

david-zwicker commented 11 months ago

It might be difficult with this package, but this also depends on the boundary conditions and initial conditions. Could you please give more details?