Neumann boundary condition

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Neumann boundary condition

[′nȯi‚män ′bau̇n·drē kən‚dish·ən]
(mathematics)
The boundary condition imposed on the Neumann problem in potential theory.
References in periodicals archive ?
There are a number of occasions where zero Neumann boundary conditions can occur in a system.
For only Neumann boundary conditions, with substitutions [[omega].
In the mixed problem of the first kind (1) is considered subject to boundary conditions which are weighted combinations of Dirichlet boundary conditions and Neumann boundary conditions (so-called Robin boundary condition).
This paper presents the Adomian decomposition method for the solution of nonlinear boundary value problem using Neumann boundary conditions.
HAM has been applied successfully to obtain the series solution of various types of linear and nonlinear differential equations such as the viscous flows of non-Newtonian fluids [3-13], the KdV-type equations [14-16], nanoboundary layer flows [17], nonlinear heat transfer [18, 19], finance problems [20, 21], Riemann problems related to nonlinear shallow water equations [22], projectile motion [23], Glauert-jet flow [24], nonlinear water waves [25], ground water flows [26], Burgers-Huxley equation [27], time-dependent Emden-Fowler type equations [28], differential difference equation [29], difference equation [30], Laplace equation with Dirichlet and Neumann boundary conditions [31], and thermal-hydraulic networks [32].
In this paper, we assume Neumann boundary conditions for the image and symmetric PSFs.
We consider system (3) under Dirichlet boundary conditions for [phi], clamped ends for [phi], and Neumann boundary conditions on [eta] :
Note that the integral representation depends on both the Dirichlet and Neumann boundary conditions.
Note that the case [alpha] = [gamma] = 0 corresponds to the problem with the Neumann boundary conditions.
Dirichlet or Neumann boundary conditions, one can define different self-adjoint Laplacians on M.
The boundary conditions are found to be Neumann boundary conditions.
Algorithms with automatic error control are described for the solution of Laplace's equation on both interior and exterior regions, with both Dirichlet and Neumann boundary conditions.