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Partial Differential Equation

The MathWorks
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Partial Differential Equation

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The Partial Differential Equation Toolbox product contains tools for the study and solution of partial differential equations (PDEs) in two-space dimensions (2-D) and time. A set of command-line functions and a graphical user interface let you preprocess, solve, and postprocess generic 2-D PDEs for a broad range of engineering and science applications.

The Partial Differential Equation (PDE) Toolbox contains tools for the study and solution of PDEs in two space dimensions (2-D) and time, using the finite element method (FEM). Its command line functions and graphical user interface can be used for mathematical modeling of PDEs in a broad range of engineering and science applications, including structural mechanics, electromagnetics, heat transfer, and diffusion.

  • Complete GUI for pre- and post-processing 2-D PDEs
  • Automatic and adaptive meshing
  • Geometry creation using constructive solid geometry (CSG) paradigm
  • Boundary condition specification: Dirichlet, generalized Neumann, and mixed
  • Flexible coefficient and PDE problem specification using MATLAB syntax
  • Fully automated mesh generation and refinement
  • Nonlinear and adaptive solvers handle systems with multiple dependent variables
  • Simultaneous visualization of multiple solution properties, FEM-mesh overlays, and animation
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