Two-point BVP

Boundary-value problem: state not entirely given at any point, but partial information is given at multiple values of independent variable.

Two-point boundary-value problem:

  • independent variable bounded (or implied)

  • a function of dependent and derivative at boundary points are zero called boundary conditions

  • In an IVP, initial value determines future course of the solution (temporal)

  • In a BVP, information is spread across the domain (spatial)

  • Classes of boundary conditions with specific nomenclature: Dirichlet, Neumann, Robin