MathWorks. MatLAB Partial Differential Equation Toolbox: User's Guide R2022b

The MathWorks, Inc., 2022. — 2064 p.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 post-process results to explore and analyze them.Key FeaturesStructural analysis, including linear static, dynamic, and modal analysis.
Heat transfer analysis for conduction-dominant problems.
General linear and nonlinear PDEs for stationary, time-dependent, and eigenvalue problems.
2D and 3D geometry are import from STL files and mesh data.
Automatic meshing using triangular and tetrahedral elements with linear or quadratic basis functions.
User-defined functions for specifying PDE coefficients, boundary conditions, and initial conditions.
Plotting and animating results, as well as derived and interpolated values.Getting Started.
Setting Up Your PDE.
Solving PDEs.
PDE Modeler App.
Functions.