ABSTRACT
In the solution of differential equations, an important class of problems involves satisfying boundary conditions either at end points or along a boundary. As undergraduates, we learn that there are three types of boundary conditions: 1) the solution has some particular value at the end point or along a boundary (Dirichlet condition), 2) the derivative of the solution equals a particular value at the end point or in the normal direction along a boundary (Neumann condition), or 3) a linear combination of Dirichlet and Neumann conditions, commonly called a “Robin condition.” In the case of partial differential equations, the nature of the boundary condition can change along a particular boundary, say from a Dirichlet condition to a Neumann condition. The purpose of this book is to show how to solve these mixed boundary value problems.
