poisson_1d, a Python code which applies the finite difference method (FDM) to solve a two point Poisson boundary value problem (BVP) in one spatial dimension.
The computer code and data files described and made available on this web page are distributed under the MIT license
poisson_1d is available in a Python version.
fd1d_advection_lax_wendroff, a Python code which applies the finite difference method (FDM) to solve the time-dependent advection equation ut = - c * ux in one spatial dimension, with a constant velocity, using the Lax-Wendroff method to treat the time derivative.
fd1d_bvp, a Python code which applies the finite difference method (FDM) to a two point boundary value problem (BVP) in one spatial dimension.
fd1d_heat_explicit, a Python code which uses the finite difference method (FDM) and explicit time stepping to solve the time dependent heat equation in 1D.
fd1d_heat_implicit, a Python code which uses the finite difference method (FDM) and implicit time stepping to solve the time dependent heat equation in 1D.
ill_bvp, a Python code which defines an ill conditioned boundary value problem (BVP), and calls on scipy.integrate.solve_bvp() to solve it with various values of the conditioning parameter.
solve_bvp_test, a Python code which calls scipy.integrate.solve_bvp(), which solves boundary value problems (BVP) in one spatial dimension.