We use Physics Informed Neural Networks (PINNs) to solve some basic example PDEs such as the logistic equation and the heat equation. We use sciann wichs is based on tensorflow and keras to build and train our models.
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In myFirstEquation we solve the logistic equation for a fixed initial value
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In logisticEquation_initialValue we solve again the logistic equation but for every initial value in the interval [0,2].
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In heat_equation we solve, you guessed it, the heat equation. First in one spatial variable and then in two. We get the solution for a specific gaussian-like initital condition and plot it.
