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.

## Examples

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

## References

### All Differential Equations

Yubo "Paul" Yang ALGORITHM

numerical method partial differential equations