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hieutrungle / XPINNs-Tensorflow2.0

Unofficial Extended Physics-Informed Neural Networks (XPINNs) Implementation Tensorflow 2.0
GNU General Public License v3.0
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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

Author

License

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

exact solution


predicted solution


point-wise error

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)