See ESC384 — Partial Differential Equations. Laplace’s equation is a PDE.
Boundary conditions
Two common types of PDE boundary conditions are Dirichlet and Neumann boundary conditions. The Dirichlet conditions specify the exact value of the solution at the boundary points. The Neumann conditions specify the rate of change of the solution at the boundary points.
Resources
- ESC384 — Partial Differential Equations
- 2021 course notes by Prof Masayuki Yano
- Introduction to Partial Differential Equations, by Gerald B. Folland (2nd edition, 1995)