Chapter 18 · Partial Differential Equations
18.08
Boundary Value Problems
Boundary value problems fix a solution's values at two ends instead of one. They may have no solution, one, or infinitely many, and the eigenvalue problems behind separation of variables are the key examples.
About 15 minutes
You'll learn to
- →Contrast initial value and boundary value problems
- →Know Dirichlet, Neumann, Robin and periodic conditions
- →Find eigenvalues and eigenfunctions for each type
- →Solve steady-state problems with sources