Solve elliptic, parabolic, hyperbolic, and eigenvalue
problems, or assemble finite element matrices

The toolbox provides two solvers:

`solvepde`

is a general PDE solver for all supported PDE problems, with the exception of eigenvalue problems. This solver returns a`StationaryResults`

or`TimeDependentResults`

object whose properties contain the solution and its gradient at the mesh nodes.`solvepdeeig`

is a solver for PDE eigenvalue problems. This solver returns an`EigenResults`

object whose properties contain the solution eigenvectors calculated at the mesh nodes.

To assemble finite element matrices that represent the PDE problem,
use `assembleFEMatrices`

.

`assembleFEMatrices` |
Assemble finite element matrices |

`solvepde` |
Solve PDE specified in a PDEModel |

`solvepdeeig` |
Solve PDE eigenvalue problem specified in a PDEModel |

`adaptmesh` |
Adaptive 2-D mesh generation and PDE solution |

PDESolverOptions Properties | Algorithm options for PDE solvers |

**Finite Element Method (FEM) Basics**

Description of the use of the finite element method (FEM) to approximate a PDE solution using a piecewise linear function.

Description of the use of the Finite Element Method (FEM) for 3-D geometry.

Mathematical definition and discussion of the elliptic equation

Mathematical definition and discussion of the parabolic equation

Mathematical definition and discussion of the hyperbolic equation

Mathematical definition and discussion of the eigenvalue equation

Mathematical definition and discussion of nonlinear equations

Mathematical definition and discussion of a system of elliptic equations

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