by Kiel Williams

Relaxation Methods in the Solution of Partial Differential Equations

How can we use a simple conceptual approach to numerically solve a nontrivial PDE?

Presentation Summary

In this presentation, I present:

  • The conceptual ideas underlying the relaxation technique for elliptic partial differential equations.
  • Some examples showing how relaxation can be used to obtain solutions to Poisson’s equation in the presence of a nonuniform charge density.


Notebook implementing relaxation on a 2D grid for an arbitrary charge distribution


All Differential Equations

numerical method partial differential equations