In this video, I describe the application of Green's Functions to solving PDE problems, particularly for the Poisson Equation (i.e. A nonhomogeneous Laplace Equation). I begin by deriving the 2 Green Identities, after which I use those identities to come up with an equation for the solution to the Poisson Equation.
Most of the derivations I've done in this video apply to a 3-dimensional case, but as I explain at the end, you could just as easily apply these methods to a 2-D situation as well (in fact, it's slightly easier than with 3-D)!
Questions/requests? Let me know in the comments!
Prerequisites: The first two videos of this playlist: [ Ссылка ] and this video on Green's Functions for ODEs are essential: [ Ссылка ] - the rest of the videos in the PDE playlist are helpful but optional.
Lecture Notes: [ Ссылка ]
Patreon: [ Ссылка ]
Twitter: [ Ссылка ]
Special thanks to my Patrons:
- Jennifer Helfman
- Justin Hill
- Jacob Soares
- Yenyo Pal
- Lisa Bouchard
