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Finite difference partial differential equation simulation with spatial heterogeneity.

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Simulation of the Gray-Scott Equations with Spatial Heterogeneity in Julia

The Gray-Scott system comprises of two coupled partial differential equations. Small changes in its parameters can lead to a wide variety of spatial patterns.

To show the variety of behaviour shown by the system, it is natural to vary the parameters through space within a single simulation, as done in this repository.

Simulation output

Parameters are as in gray_scott.jl, which implements a finite-difference method. The final state is shown below. The transient response is shown in gray_scott.mp4.

truth

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