Gray-Scott reaction diffusion on a sphere in Matlab

Reaction-diffusion models are notable for producing many patterns found in nature. In this short project I put together a quick and simple surface finite element method which I've used to solve the Gray-Scott reaction-diffusion equations on the surface of a sphere given by gamma.

The model itself is described in the following figure.

And the parameters I've selected to model are given in:

This code makes use of the Matlab vectorization notation and iterative solvers to produce a high performance, and colourful, output given in the animation.

These animations correspond to two separate initial conditions which are available from the code.

To demo this application, execute the .m script file in a Matlab environment.

• Matlab - Matlab
• Gray Scott - Further details of the Gray-Scott model

Version 1.0 only.

• Michael N - Initial work - mbn010