Neumann boundary conditions
From Encyclopedia of Mathematics
Neumann conditions, Neumann data, boundary conditions of the second kind
Consider a second-order partial differential equation 
on a domain 
in 
with boundary 
(cf. also Differential equation, partial, of the second order). Boundary conditions of the type
 |
where 
is the outward pointing normal at 
, are called Neumann boundary conditions.
A boundary value problem with Neumann conditions is also called a boundary value problem of the second kind (see Second boundary value problem).
See also First boundary value problem; Dirichlet boundary conditions; Third boundary value problem.
How to Cite This Entry:
Neumann boundary conditions. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Neumann_boundary_conditions&oldid=33090
Neumann boundary conditions. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Neumann_boundary_conditions&oldid=33090
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article