# PINN_Simple_ODE_1D
From fascinating Idea of PINN (ft. Maziar Raissi), this one is baby step to explore and understand PINNs.
Idea is to make PINN for approximating (Exactly) simple 1-D equations and understand the implementation.
## Examples
1. Polynomial - f(x) = y = x^2 in range (-20,20)
2. Trigonometric - f(x) = y = x + sin(4 pi x) in range (0,1)
3. 1st_order_ode - df(x)/dx = 1/x in range(0.5,10) with f(1)=0
## Citation
https://maziarraissi.github.io/PINNs/
@article{raissi2019physics,
title={Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
author={Raissi, Maziar and Perdikaris, Paris and Karniadakis, George E},
journal={Journal of Computational Physics},
volume={378},
pages={686--707},
year={2019},
publisher={Elsevier}
}
@article{raissi2017physicsI,
title={Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations},
author={Raissi, Maziar and Perdikaris, Paris and Karniadakis, George Em},
journal={arXiv preprint arXiv:1711.10561},
year={2017}
}
@article{raissi2017physicsII,
title={Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations},
author={Raissi, Maziar and Perdikaris, Paris and Karniadakis, George Em},
journal={arXiv preprint arXiv:1711.10566},
year={2017}
}
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PINN_Simple:探索一维中的PINN实现
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2021-02-11
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PINN_Simple_ODE_1D 从引人入胜的PINN理念(ft。Maziar Raissi)看来,这一步是探索和理解PINN的第一步。 想法是使PINN用于近似(精确)简单的一维方程式并理解实现。 例子 多项式-f(x)= y = x ^ 2(-20,20) 三角-f(x)= y = x + sin(4 pi x)在(0,1)范围内 1st_order_ode-df(x)/ dx = 1(x)在范围(0.5,10)中且f(1)= 0 引文 @article{raissi2019physics, title={Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial diffe
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PINN_Simple-master.zip (6个子文件)
PINN_Simple-master
LICENSE 34KB
README.md 1KB
pinn_base_model.py 5KB
1_example_polynomial.py 2KB
2_example_trignometric.py 2KB
3_example_1st_order_ode_1D.py 3KB
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