allen_cahn_pde_test

allen_cahn_pde_test, a MATLAB code which calls allen_cahn_pde(), which sets up and solves the Allen-Cahn reaction-diffusion system of partial differential equations (PDE) in 1 space dimension and time.

Licensing:

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

Related Data and Programs:

allen_cahn_pde, a MATLAB code which sets up and solves the Allen-Cahn reaction-diffusion system of partial differential equations (PDE) in 1 space dimension and time.

Source Code:

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

• allen_cahneuler.m, uses the Euler method to solve the equation.
• allen_cahn_euler.png, a plot of the solution at the final time step.

• allen_cahn_ode_ode45_test.m, uses ode45() to solve the equation.
• allen_cahn_ode45.png, a plot of the solution at the final time step.