Tool Python Intermediate 30 min

The wave equation with leapfrog finite differences: a pulse on a string

Afterwards you can simulate a wave on a string with the leapfrog scheme, pick the time step by the Courant condition, and recognize numerical dispersion.

Partial differential equations Engineering, Geology, Physics

Tool Python Intermediate 40 min

Devito from the ground up: a seismic shot over a buried reflector

Afterwards you can solve the acoustic wave equation in Devito with a velocity model, a source, receivers, and a stable time step, and check arrival times.

Partial differential equations Geology, Physics

Tool Python Intermediate 40 min

findiff.PDE with mixed boundary conditions: seepage under a dam

Afterwards you can solve Laplace's equation with mixed Dirichlet and Neumann conditions in findiff.PDE, check the solution, and compute its flux and flow net.

Partial differential equations Engineering, Geology

Tool Python Intermediate 35 min

Surface temperature of an airless planet: day, night, and below the ground

Afterwards you can turn a heat equation with a radiating surface into ODEs for solve_ivp and compute an airless body's day, night, and subsurface temperatures.

Partial differential equations Geology, Physics