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 |