
22.2. Analytical Solutions and Their Visualizations 1297
22.2.5 Con structing Analytical Solutions of Bou ndary Value Problems
A boundary value problem is a problem of finding an unknown function that satisfies a
given partial differential equation and particular boundary conditions. Boundary value
problems are associated with partial differential equations of elliptic type and are consider-
ably more difficult to solve.
Boundary value problems can be divided into two classes: interior and exterior bound-
ary value problems. For exterior boundary value problems, part of the boundary is at infin-
ity and their solutions should satisfy an additional requirement ...