Note
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2.5. Simple diffusion equation
This example solves a simple diffusion equation in two dimensions.

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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 11.019 seconds)