/PDElearning

Code repository for the paper "Learning partial differential equations for biological transport models from noisy spatiotemporal data"

Primary LanguageJupyter Notebook

PDElearning

Code repository for the paper "Learning partial differential equations for biological transport models from noisy spatiotemporal data". See https://arxiv.org/abs/1902.04733

data_denoising/ - This folder contains the code that denoise data and approximate their partial derivatives with various methods.

PDEFIND/ - This folder contains the code to perform the PDE learning aspect of our study.

animations/ - This folder contains movies (animations) showing results of the finite difference, bi-spline, and neural network data denoising methods applied to the advection diffusion, Fisher-KPP, and nonlinear Fisher-KPP equations.