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PINNs

TensorFlow 2 implementation of Physics-Informed Neural Networks (PINNs) based on Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations. Implemented equations are

  • Heat,
  • Wave,
  • Reaction-Diffusion,
  • Stationary Advection-Diffusion,
  • Poisson,
  • Schrodinger's,
  • Burger's,
  • Klein Gordon,
  • and Transport.

Examples of each PINN are available in the notebooks.

Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations

This repository contains the code base for the paper "Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations," accepted at IJCAI 2024 (see on arXiv). Switch to the ijcai branch to access training scripts.

@article{dashtbayaz2024physicsinformed,
  title   = {Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations},
  author  = {Nima Hosseini Dashtbayaz and Ghazal Farhani and Boyu Wang and Charles X. Ling},
  year    = {2024},
  journal = {arXiv preprint arXiv: 2405.01680}
}