Solve partial differential equations using finite element
analysis

Partial Differential Equation Toolbox™ provides functions for solving partial differential equations (PDEs) in 2-D, 3-D, and time using finite element analysis. It lets you specify and mesh 2-D and 3-D geometries and formulate boundary conditions and equations. You can solve static, time domain, frequency domain, and eigenvalue problems over the domain of the geometry. Functions for postprocessing and plotting results enable you to visually explore the solution.

You can use Partial Differential Equation Toolbox to solve PDEs from standard problems such as diffusion, heat transfer, structural mechanics, electrostatics, magnetostatics, and AC power electromagnetics, as well as custom, coupled systems of PDEs.

Specify geometry, boundary conditions, equations, mesh, and solver configuration

Plot, animate, and interpolate PDE solutions

Solve PDEs that model static electrical and magnetic fields

Solve PDEs that model plane stress and strain in solid mechanics

Solve PDEs that model harmonic electrical fields in conductors

Solve PDEs that model direct current electrical conduction or other elliptic problems

Solve PDEs that model heat transfer or other diffusions in solids

Eigensolutions of linear PDEs