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NeuroDiffGym / neurodiffeq

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.
http://pypi.org/project/neurodiffeq/
MIT License
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Solving system of PDEs/ODEs #208

Open ni-sha-c opened 1 year ago

ni-sha-c commented 1 year ago

Hello, I was wondering if the code currently supports solving a BVP of the form $L(u) = v,$ where $L$ is some differential operator, $u(x,y), v(x,y) \in \mathbb{R}^2$ and $x$ and $y$ are scalar coordinates. I tried to modify the example BVP to be trained with a neural network with a vector output, but the functions in conditions.py and solvers.py assume that the output of the PDE is scalar. This package is very nicely written, thank you!

sathvikbhagavan commented 10 months ago

Can't you substitute x, y into u, v and create a system of two equations? Also, it would be great if you can post an MWE for this case.