/fractDiffusion

Estimate space-time fractional diffusion equation from data

Primary LanguageJupyter NotebookGNU General Public License v3.0GPL-3.0

Identifying Arguments of Space-Time Fractional Diffusion: Data-driven Approach

The code to reproduce results in our paper from Frontiers 2020. Paper

Image

Language: The code package is available in Python and Matlab

Note: We have observed that the Matlab generated alpha-stable distribution samples are more close to the theoretical moments as compared to the scipy (Python) generated at the time the experiments were done. We leave up to the user to decide which option to use.

Citation

For using the code in your work, please consider citing

@ARTICLE{10.3389/fams.2020.00014,
AUTHOR={Znaidi, Mohamed Ridha and Gupta, Gaurav and Asgari, Kamiar and Bogdan, Paul},
TITLE={Identifying Arguments of Space-Time Fractional Diffusion: Data-Driven Approach},
JOURNAL={Frontiers in Applied Mathematics and Statistics},
VOLUME={6},
PAGES={14},
YEAR={2020},
DOI={10.3389/fams.2020.00014},
ISSN={2297-4687},
}

Happy experimenting...