There are several 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. Cauchy Boundary Conditions specify a weighted average of first and second kinds.
- 4. 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.

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1999-05-26