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Mixed Boundary Condition




In Mathematics , a mixed boundary condition for a Partial Differential Equation indicates that different Boundary Condition s are used on different parts of the Boundary of the Domain of the equation.

For example, if u is a solution to a partial differential equation on a set \Omega with Piecewise - Smooth boundary \partial \Omega, and \partial \Omega is divided into two parts, \Gamma_1 and \Gamma_2, one can use a Dirichlet Boundary Condition on \Gamma_1 and a Neumann Boundary Condition on \Gamma_2,

  : <math> Rac{\partial U}{\partial N}\bigg {\Gamma 2} g</math>