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.


Capabilities

Structural Analysis

Solve linear static, modal, and transient analysis problems.

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Thermal Analysis

Solve conduction-dominant heat transfer problems.

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General PDEs

Solve custom second-order PDEs, such as those deriving from diffusion, electrostatics, and magnetostatics.

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FEA Workflows in MATLAB

With a few lines of code, you can import geometry, generate a mesh, define the physics, solve, and visualize results.

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Geometry and Meshing

Import 2D or 3D geometries from STL and automatically generate triangular or tetrahedral meshes.

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Visualization and Postprocessing

Compute derived and interpolated data from results as well as create plots and animations.

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Product Resources

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Documentation

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Functions

Browse the list of available Partial Differential Equation Toolbox functions.

Technical Articles

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User Stories

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Community and Support

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Product Requirements

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Apps

Partial Differential Equation Toolbox apps enable you to quickly access common tasks through an interactive interface.


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Partial Differential Equation Toolbox requires: MATLAB


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