georgestod/neural_nets_ODE_solver

Solve ODEs using deep neural nets

An experimental ordinary differential equations solver using neural networks

by Georges Tod, ULB, February 2020

based on:

Raissi, Maziar, Paris Perdikaris, and George Em Karniadakis. "Physics informed deep learning (part i): Data-driven solutions of nonlinear partial differential equations." arXiv preprint arXiv:1711.10561 (2017).

This notebook shows how to solve the simple pendulum equation with some friction,

$ \ddot{\theta} + \alpha \cdot \dot{\theta} + \sin{\theta} = 0 $

where $\theta$ is the angle of the pendulum and with $\alpha = 0.1$.

To test it, run 'simple pendulum_beta.ipynb' notebook.