Among the topics are some spectral properties of rooms and passages domains and their skeletons, asymptotic parabolicity for strongly damped wave
equations, a minimal uncertainty product for one-dimensional semi-classical wave packets, one-dimensional Schrodinger operations with local point interactions, and proscribed asymptotic behavior for nonlinear second-order dynamic equations.
Finite Difference Method (FDM) and Fourth Order Compact Method (FOCM) are presented in this paper for the solutions of the well known one dimensional Homogeneous Damped Wave Equation.
Key words: Finite Difference Method, Fourth Order Compact Method, Damped Wave Equation.
Consider the second order one dimensional homogenous damped wave equation
Equations like damped wave equation arise in the study of viscoelastic theory (Stig Larsson, 1989).
uniform stabilization of a viscous numerical approximation for a locally damped wave equation, Esaim (13): 265-293 (2007).