Methods of Solving Laplace equation

There exists several methods of solving Laplace’s equation. They are conveniently outlined below in the chart by Dr Wilke

In this class we go over the following methods:

• Solving both Laplace and Poisson’s Equation via direct integration
  • See 2024-01-25 Laplace Via Direct Integration
• Solving Laplace’s Equation via Image charges and Multi-pole Expansion
  • See 2024-01-29 Method of image charges and Class 9 Multipole Expansion 020824.pdf
• Solving Poisson’s Equation via Spherical and Cartesian Coordinates.
  • See 2024-02-05 Spherical Laplace Eq. and 2024-02-01 Laplace’s Equation Fourier Series