Solving the 2D Poisson PDE by Eight Different Methods
Solving the 2D Poisson PDE by Eight Different Methods
This Demonstration considers solutions of the Poisson elliptic partial differential equation (PDE) on a rectangular grid. Eight numerical methods are based on either Neumann or Dirichlet boundary conditions and nonuniform grid spacing in the and directions. Different source functions are considered.
-u=f(x,y)
2
∇
x
y
f(x,y)