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