Mixed boundary condition

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In mathematics, a mixed boundary condition (also called a Robin boundary condition) imposed on an ordinary differential equation or a partial differential equation give information about both the values of a function and the values of its derivative on the boundary of the domain. Mixed boundary conditions are a combination of Dirichlet boundary conditions and Neumann boundary conditions.

In the case of an ordinary differential equation, for example such as

on the interval , mixed boundary conditions take the form

where , , , and are given numbers.

Mixed boundary conditions are commonly used in solving Sturm-Liouville problems which appear in many contexts in science and engineering.

[edit] See also

• Dirichlet boundary condition
• Neumann boundary condition
• Cauchy boundary condition