artery_pde, an Octave code which solves a partial differential equation (PDE) in one spatial dimension and time, that models the displacement of arterial walls under pressure.
The method of lines is used to solve the system. The resulting system of ODE's is uncoupled, so while this is formally a PDE, it could be regarded as simply a collection of ODE's.
The computer code and data files described and made available on this web page are distributed under the MIT license
artery_pde is available in a MATLAB version and an Octave version.
advection_pde, an Octave code which solves the advection PDE dudt + c * dudx = 0 in one spatial dimension, with a constant velocity c, and periodic boundary conditions, using the FTCS method, forward time difference, centered space difference.
allen_cahn_pde, an Octave code which sets up and solves the Allen-Cahn reaction-diffusion system of partial differential equations (PDE) in 1 space dimension and time.
diffusion_pde, an Octave code which solves the diffusion partial differential equation (PDE) dudt - mu * d2udx2 = 0 in one spatial dimension, with a constant diffusion coefficient mu, and periodic boundary conditions, using FTCS, the forward time difference, centered space difference method.
string_pde, an Octave code which sets up and solves the partial differential equations (PDE) describing a vibrating string.