2.5 Simple diffusion equation

This example solves a simple diffusion equation in two dimensions.

simple
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from pde import DiffusionPDE, ScalarField, UnitGrid

grid = UnitGrid([64, 64])  # generate grid
state = ScalarField.random_uniform(grid, 0.2, 0.3)  # generate initial condition

eq = DiffusionPDE(diffusivity=0.1)  # define the pde
result = eq.solve(state, t_range=10)
result.plot()

Total running time of the script: (0 minutes 9.880 seconds)