Partial Differential Equation Toolbox
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