README.md

PINN (Physics-Informed Neural Network)

Code for solving various PDEs with PINN.

Solutions are compared to exact solution or FEM solution.

Here is a list of equations that are solved:

1. File 1DLinearPINN.py solves 1D linear Puasson's equation:

2. File 1DNonLinearPINN.py solves 1D Nonlinear Puasson's equation:

3. File 2DPlus1DPlot.py solves 2D linear Puasson's equation:

and analogous 1D linear Puasson's equation:

4. File 2DPlus1DPlotZeroF.py solves 2D linear Laplace's equation:

and analogous 1D linear Laplace's equation:

5. File 2DPlus1DPlotZeroFHalfDirichlet.py solves 2D linear Laplace's equation:

6. File 2DRobin.ipynb solves Laplace's 2D equation:

7. File 1DNonStationaryHeatEquation.ipynb solves non-stationary 1D heat equation:

8. File 2DNonStationaryHeatEquation.ipynb solves non-stationary 2D heat equation:

9. File 1DStationaryHeatEquationRing.ipynb solves 2D Laplace's equation with Dirichlet conditions in double-connected region