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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 perform electrostatic and magnetostatic analyses, and also solve other standard problems using 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.

Get Started

Learn the basics of Partial Differential Equation Toolbox

Geometry and Mesh

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

Unified Modeling

Solve structural mechanics, heat transfer, and electromagnetic problems with a unified workflow using a finite element analysis model

Domain-Specific Modeling

Solve structural mechanics, heat transfer, and electromagnetic problems using specific objects corresponding to each problem type

General PDEs

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

Visualization

Plot and explore structural, thermal, and electromagnetic solutions, as well as general PDE results