advection_pde_test

advection_pde_test, a MATLAB code which calls advection_pde(), 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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and codes:

advection_pde, a MATLAB 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.

Source Code:

• advection_pde_test.m, calls all the tests.
• advection_pde_test.sh, runs all the tests.
• advection_pde_test.txt, the output file.

• advection_pde_ftcs.m, solves the PDE using FTCS.
• advection_pde_ftcs_initial.png, the initial condition.
• advection_pde_ftcs_final.png, the approximate solution at the final time.
• advection_pde_ftcs_conservation.png, the conserved quantity over time.
• advection_pde_ftcs.avi, an animation of the sequence of solutions.