Editing Neumann boundary condition (section)

{{Short description|Mathematics}}
In [[mathematics]], the '''Neumann''' (or '''second-type''') '''boundary condition''' is a type of [[boundary condition]], named after [[Carl Neumann]].<ref>{{Cite journal | doi = 10.1016/j.enganabound.2004.12.001| title = Heritage and early history of the boundary element method| journal = Engineering Analysis with Boundary Elements| volume = 29| issue = 3| pages = 268| year = 2005| last1 = Cheng | first1 = A. H.-D. | last2 = Cheng | first2 = D. T. }}</ref>
When imposed on an [[ordinary differential equation|ordinary]] or a  [[partial differential equation]], the condition specifies the values of  the [[derivative]] applied at the [[boundary (topology)|boundary]] of the [[Domain (mathematical analysis)|domain]].

It is possible to describe the problem using other boundary conditions: a [[Dirichlet boundary condition]] specifies the values of the solution itself (as opposed to its derivative) on the boundary, whereas the [[Cauchy boundary condition]], [[mixed boundary condition]] and [[Robin boundary condition]] are all different types of combinations of the Neumann and Dirichlet boundary conditions.