Partial Differential Equation Toolbox

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.

PDE Problem Setup

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

Solution Visualization and Interpolation

Plot, animate, and interpolate PDE solutions

Electrostatics and Magnetostatics

Solve PDEs that model static electrical and magnetic fields

Structural Mechanics

Solve PDEs that model plane stress and strain in solid mechanics

AC Power Electromagnetics

Solve PDEs that model harmonic electrical fields in conductors

DC Conduction and Elliptic Problems

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

Heat Transfer and Diffusion

Solve PDEs that model heat transfer or other diffusions in solids

Eigenvalue Problems

Eigensolutions of linear PDEs