poisson_2d

poisson_2d, uses a finite difference approach to model a Poisson equation on a rectangular domain, and to produce a computational estimate of the solution.

The notes:

• poisson_2d.pdf
• poisson_2d.tex

Scripts and functions:

• poisson.m, solves a Poisson equation over a user-defined rectangle.
• poisson_test.m, calls poisson(), specifying a particular discretized rectangle, and functions f(x,y) and g(x,y).

Text:

• poisson_test.txt, printed output from a run of poisson_test().

Images:

• electric_field.png, a plot of a solution of an electric field potential problem.
• 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.