An equation involving partial derivatives of an unknown function u(x_1, ..., x_n). Classified by order and linearity; second-order linear PDEs fall into elliptic / parabolic / hyperbolic types.
Partial differential equation (PDE)
Related concepts
- Derivative
- Heat equation
- Wave equation (PDE)
- Laplace equation
- Method of characteristics
- Separation of variables
- Finite-difference methods
- Cauchy-Riemann equations
- Hamilton–Jacobi equation
- Burgers' equation
- Reaction-diffusion equation
- Helmholtz equation
- Navier-Stokes (open)
- Maximum principle (elliptic)
- Plateau problem (minimal surfaces)
- Dirichlet problem
- Fokker-Planck density evolution
- Ricci flow
- Wave equation
- Gauss's law (electric)