Note
Go to the end to download the full example code
2.5. Simple diffusion equation
This example solves a simple diffusion equation in two dimensions.
0%| | 0/10.0 [00:00<?, ?it/s]
Initializing: 0%| | 0/10.0 [00:00<?, ?it/s]
0%| | 0/10.0 [00:10<?, ?it/s]
0%| | 0.004/10.0 [00:10<7:26:05, 2677.61s/it]
0%| | 0.018/10.0 [00:10<1:38:59, 595.06s/it]
6%|6 | 0.605/10.0 [00:10<02:46, 17.73s/it]
57%|#####6 | 5.678/10.0 [00:10<00:08, 1.91s/it]
57%|#####6 | 5.678/10.0 [00:10<00:08, 1.93s/it]
100%|##########| 10.0/10.0 [00:10<00:00, 1.09s/it]
100%|##########| 10.0/10.0 [00:10<00:00, 1.09s/it]
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 11.130 seconds)