2D Fast Poisson Solver

2D Fast Poisson Solver on a Rectangular Domain

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This is a simple implementation of a fast Poisson solver in two dimensions on a regular rectangular grid. The underlying method is a finite-difference scheme. 5-point, 9-point, and modified 9-point methods are implemented while FFTs are used to accelerate the solvers. This method is mostly an implementation of the process as described in Arieh Iserles Numerical Analysis textbook. More information is available at http://www.mrl.nyu.edu/~harper/poisson.htm

I am also currently extending the code to 3d as well as the Helmholtz/Modified Helmholtz equations.

Cite As

Harper Langston (2026). 2D Fast Poisson Solver (https://www.mathworks.com/matlabcentral/fileexchange/21472-2d-fast-poisson-solver), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.4.0.0

Changed the photo and fixed some text in the file notes.

1.0.0.0