This is a list of partial differential equation topics.
General topics Partial differential equation Nonlinear partial differential equation list of nonlinear partial differential equations Boundary condition Boundary value problem Dirichlet problem, Dirichlet boundary condition Neumann boundary condition Stefan problem Wiener–Hopf problem Separation of variables Green's function Elliptic partial differential equation Singular perturbation Cauchy–Kovalevskaya theorem H-principle Atiyah–Singer index theorem Bäcklund transform Viscosity solution Weak solution Loewy decomposition of linear differential equations
Specific partial differential equations Broer–Kaup equations Burgers' equation Euler equations Fokker–Planck equation Hamilton–Jacobi equation, Hamilton–Jacobi–Bellman equation Heat equation Laplace's equation Laplace operator Harmonic function Spherical harmonic Poisson integral formula Klein–Gordon equation Korteweg–de Vries equation Modified KdV–Burgers equation Maxwell's equations Navier–Stokes equations Poisson's equation Primitive equations (hydrodynamics) Schrödinger equation Wave equation
Numerical methods for PDEs Finite difference Finite element method Finite volume method Boundary element method Multigrid Spectral method Computational fluid dynamics Alternating direction implicit
Related areas of mathematics Calculus of variations Harmonic analysis Ordinary differential equation Sobolev space