Boundary Conditions

There are three types of boundary conditions commonly encountered in the solution of partial differential equations:

1. Dirichlet boundary conditions specify the value of the function on a surface T=f(r,t).

2. Neumann boundary conditions specify the normal derivative of the function on a surface,

 (partialT)/(partialn)=n^^·del T=f(r,t).

3. Robin boundary conditions. For an elliptic partial differential equation in a region Omega, Robin boundary conditions specify the sum of alphau and the normal derivative of u=f at all points of the boundary of Omega, with alpha and f being prescribed.

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