Unofficial Implementation of Extended physics-informed neural networks (XPINNs) : A generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations - Tensorflow 2.0

Recommended software versions: TensorFlow 2.8, Python 3.9

Setup

$ https://github.com/hieutrungle/XPINNs-Tensorflow2.0
$ cd XPINNs-Tensorflow2.0
$ pip install -r requirements.txt

Run Deomo

python xpinn_tf2.py

Contribution

• Your issues and PRs are always welcome.

Author

• Hieu Le
• Author Email : [email protected]

License

• GPL-3.0 License

Results of XPINNS after training on Poisson Equation f = x + y.

References

1. A.D.Jagtap, G.E.Karniadakis, Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations, Commun. Comput. Phys., Vol.28, No.5, 2002-2041, 2020. (https://doi.org/10.4208/cicp.OA-2020-0164)