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Partial Differential Equation Toolbox

Solve partial differential equations using finite element analysis

Partial Differential Equation Toolbox™ provides functions for solving structural mechanics, heat transfer, and general partial differential equations (PDEs) using finite element analysis.

You can perform linear static analysis to compute deformation, stress, and strain. For modeling structural dynamics and vibration, the toolbox provides a direct time integration solver. You can analyze a component’s structural characteristics by performing modal analysis to find natural frequencies and mode shapes. You can model conduction-dominant heat transfer problems to calculate temperature distributions, heat fluxes, and heat flow rates through surfaces. You can also solve standard problems such as diffusion, electrostatics, and magnetostatics, as well as custom PDEs.

Partial Differential Equation Toolbox lets you import 2D and 3D geometries from STL or mesh data. You can automatically generate meshes with triangular and tetrahedral elements. You can solve PDEs by using the finite element method, and postprocess results to explore and analyze them.

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Learn the basics of Partial Differential Equation Toolbox

Finite Element Analysis Model

Solve structural mechanics, thermal, and electromagnetic problems with a unified workflow

Geometry and Mesh

Define a geometry and discretize it using a triangular or tetrahedral mesh

Structural Mechanics

Solve linear static, transient, modal analysis, and frequency response problems

Heat Transfer

Solve conduction-dominant heat transfer problems with convection and radiation occurring at boundaries


Solve problems that model electric and magnetic fields

General PDEs

Solve general linear and nonlinear PDEs for stationary, time-dependent, and eigenvalue problems