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.
Open the app for interactive PDEs solving.
Model, solve, and analyze PDEs interactively.
Steps to follow when solving PDE problems from the command line.
Use command-line functions to solve a simple elliptic PDE in the form of Poisson's equation on a unit disk.
Use the PDE Modeler app to solve a simple elliptic PDE in the form of Poisson's equation on a unit disk.
Use the PDE Modeler app to solve the Poisson's equation on a complex 2-D geometry.
Partial Differential Equation Toolbox lets you model and solve particular types of scalar PDEs and systems of PDEs.
Descriptions of the PDE Modeler application modes, including scalar, system plane stress and strain structural mechanics, electrostatics, magnetostatics, AC power electromagnetics, conductive media DC, heat transfer, and diffusion.