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Analytical solutions to time-dependent Burgers Equation in 1D and 2D

Analytical burgers equation in 1d and 2d over time. Also contains the analytical solution to a.)the fundamental heat equation b.) fokkerplanck equation in 3d

See main.py for an example on how to evaluate the solution on a spatiotemporal grid.

The burgers implementation is based on: Gao, Q., and M. Y. Zou. "An analytical solution for two and three dimensional nonlinear Burgers' equation." Applied Mathematical Modelling 45 (2017): 255-270.

install

Requirements for conda are in the .yml file. Else, you can just directly install the package with: pip install -e . while being in the pde_datasets directory of this repo.

Burgers 1d

Alt text

Burgers 2d

Alt text Alt text Alt text

heat_3d

Alt text