Partial Differential Equation Toolbox

In Which Areas Can the Toolbox Be Used?

The PDEs implemented in the toolbox are used as a mathematical model for a wide variety of phenomena in all branches of engineering and science. The following is by no means a complete list of examples.

The elliptic and parabolic equations are used for modeling

• Steady and unsteady heat transfer in solids
• Flows in porous media and diffusion problems
• Electrostatics of dielectric and conductive media
• Potential flow

The hyperbolic equation is used for

• Transient and harmonic wave propagation in acoustics and electromagnetics
• Transverse motions of membranes

The eigenvalue problems are used for

• Determining natural vibration states in membranes and structural mechanics problems

Last, but not least, the toolbox can be used for educational purposes as a complement to understanding the theory of the FEM.

What Problems Can I Solve?

How Do I Define a PDE Problem?