Partial Differential Equation Toolbox

The Finite Element Method

The core of the PDE Toolbox is a PDE solver that uses the Finite Element Method (FEM) for problems defined on bounded domains in the plane. The toolbox provides a user-friendly interface between the computing environment of MATLAB and the technical procedures of the FEM.

The Elliptic Equation	Mathematical definition and discussion of the elliptic equation
The Elliptic System	Mathematical definition and discussion of a system of elliptic equations
The Parabolic Equation	Mathematical definition and discussion of the parabolic equation
The Hyperbolic Equation	Mathematical definition and discussion of the hyperbolic equation
The Eigenvalue Equation	Mathematical definition and discussion of the eigenvalue equation
Nonlinear Equations	Mathematical definition and discussion of nonlinear equations
Adaptive Mesh Refinement	Description of toolbox mesh refinement
Fast Solution of Poisson's Equation	Description of the toolbox solution to Poisson's equation
References	Additional information

The Toolbar The Elliptic Equation