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

ALGORITHM
numerical method partial differential equations

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