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 information on this web page is distributed under the MIT license.
poisson_1d is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a FreeFem++ version and a MATLAB version and an Octave version and 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.