gray_scott_pde

gray_scott_pde, a MATLAB code which solves the partial differential equation (PDE) known as the Gray-Scott reaction diffusion equation, displaying a sequence of solutions as time progresses.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Reference:

• Willem Hundsdorfer, Jan Verwer,
  Numerical solution of time-dependent advection-diffusion-reaction equations,
  Springer, 2003,
  ISBN: 978-3-662-09017-6

Source Code:

• gray_scott_pde.m solves the Gray-Scott reaction diffusion partial differential equation (PDE), displaying a sequence of solutions as time progresses.

Tests

• gray_scott_pde_test.m calls all the tests.
• gray_scott_pde_test.sh runs all the tests.
• gray_scott_pde_test.txt the output file.

Plots

• gray_scott_u0000.png, U solution at time 0.
• gray_scott_u0100.png, U solution at time 100.
• gray_scott_u0200.png, U solution at time 200.
• gray_scott_u0500.png, U solution at time 500.
• gray_scott_u1000.png, U solution at time 1000.
• gray_scott_u1500.png, U solution at time 1500.