Computational Physics Summer School

Laboratory
Introduction to the
Partial Differential Equation Toolbox

Description

The Partial Differential Equation Toolbox extends the MATLAB Technical Computing Environment for the study and solution of PDEs in two space dimensions (2-D) and time. The PDE Toolbox provides a set of command line functions and an intuitive graphical user interface for preprocessing, solving and postprocessing generic 2-D PDEs using the Finite Element Method (FEM). The toolbox also provides automatic and adaptive meshing capabilities, and a suite of eight application modes for common PDE application areas such as heat transfer, structural mechanics, electrostatics, magnetostatics, and diffusion. These application areas are common in the fields of engineering and physics.

Check out additional information provided by the authors of the PDE Toolbox, COMSOL.

Demonstrations

The following demonstrations may be run by typing, e.g. pdedemo1 at the MATLAB prompt. 
 pdedemo1    - Exact solution of Poisson's equation on unit disk. 
 pdedemo2    - Solve Helmholtz's equation and study the reflected waves.
 pdedemo3    - Solve a minimal surface problem.
 pdedemo4    - Solve PDE problem using subdomain decomposition.
 pdedemo5    - Solve a parabolic PDE (the heat equation).
 pdedemo6    - Solve a hyperbolic PDE (the wave equation).
 pdedemo7    - Adaptive solution with point source.
 pdedemo8    - Solve Poisson's equation on rectangular grid.
At the MATLAB prompt type pdetool to bring up the PDE toolbox graphical user interface. Select "Help" from the Help Menu for an introduction to its use.

Click the "PDE" button to specify the PDE to be solved. Click the "=" button to solve the PDE.

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Last Update 3 January 1996