# What are boundary conditions differential equations

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### Initial and boundary conditions

When integrating partial equivalents, functions arise (similar to the integration constants for ordinary equivalents). A closed solution is only obtained if it can be determined by additional conditions. A distinction is made between initial and boundary conditions.

*Initial conditions*- are rules for the value of the dependent variable in the initial state.
*boundary conditions*- are rules for the value of the dependent variable or its derivation on the range boundary.

The following boundary conditions are known by name:

- 1. Dirichlet binding:
- The value of the appended variable is given along the edge of the area.
- 2. Neumann binding:
- The normal derivative of the independent variable along the edge is given.
- 3.Mixed (Cauchy)

Boundary conditions: - Dirichle boundary conditions are given on one part of the boundary, Neumann conditions on another.
- 4. Robin condition:
- This means linear combinations of Dirichlet and Neumann conditions.

__Danger:__ Pure gradient conditions can solve the problem __Not__ solve clearly, as the level is not fixed.

**Next:**Formulation methods

**Up:**Classification of partial differential equations (PDG)

**Previous:**Example: characteristics procedure

*Benjamin Guild*

Sat Dec 16 3:24:45 pm CET 2000

Sat Dec 16 3:24:45 pm CET 2000

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