py-pde: A Python package for solving partial differential equations

Zwicker, David

doi:10.21105/joss.02158

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py-pde: A Python package for solving partial differential equations

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Zwicker, David
Max Planck Research Group Theory of Biological Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Zwicker, D. (2020). py-pde: A Python package for solving partial differential equations. Journal of Open Source Software, 5(48): 2158. doi:10.21105/joss.02158.

Cite as: https://hdl.handle.net/21.11116/0000-0009-CE07-8

Abstract

The py-pde python package presented in this paper allows researchers to quickly and conveniently simulate and analyze PDEs of the general form
∂tu(x, t) = D[u(x, t)] + η(u, x, t) ,
where D is a (non-linear) differential operator that defines the time evolution of a (set of)
physical fields u with possibly tensorial character, which depend on spatial coordinates x and
time t. The framework also supports stochastic differential equations in the Itô representation,
indicated by the noise term η in the equation above.