The Number of Boundary Conditions for Initial Boundary Value Problems
Jan Nordström, Thomas Hagstrom
Abstract
Both the energy method and the Laplace transform method are frequently used for determining the number of boundary conditions required for a well posed initial boundary value problem.We show that these two distinctly dierent methods yield the same results.
Topics & Concepts
Boundary value problemMathematicsLaplace transformMathematical analysisBoundary (topology)Applied mathematicsCalculus (dental)DentistryMedicineAdvanced Numerical Methods in Computational MathematicsDifferential Equations and Numerical MethodsElectromagnetic Simulation and Numerical Methods