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 .

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

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

REFERENCES:

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 502-504, 1985.

Morse, P. M. and Feshbach, H. "Boundary Conditions and Eigenfunctions." Ch. 6 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 495-498 and 676-790, 1953.