I've only just started researching the use of neural networks to solve differential equations (I'd like some PDEs), and I have a little background in building a neural network.
I was wondering if any free data existed for input in solving PDEs. I'd like to stick with something basic, but I'm working on small project where I would like to do something like, solve a simple heat equation algebraically, numerically, and then with a neural network. Would I have to create an input data set? And if so, do you know any literature to guide me on what the set could look like? Thanks.