fd2d_poisson

fd2d_poisson, a Python code which solves a Poisson equation over a user-specified discretized rectangle, with given functions f(x,y) (right hand side) and g(x,y) (Dirichlet boundary conditions), using the Finite Difference Method (FDM).

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fd2d_poisson is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

fd2d_heat_steady, a Python code which solves the steady state (time independent) heat equation in a 2D rectangular region.

heated_plate, a Python code which solves the steady state heat equation in a 2d rectangular region, and is intended as a starting point for a parallel version.

Source Code:

• fd2d_poisson.py, the source code.
• fd2d_poisson.sh, runs all the tests.
• fd2d_poisson.txt, the output file.

• poisson_computed_contours.png, contours of the computed solution of the Poisson equation.
• poisson_computed_surface.png, a surface plot of the computed solution of the Poisson equation.
• poisson_exact_surface.png, a surface plot of the exact solution of the Poisson equation.