Abstract: In
this paper, we study the behavior of the solution for the system of infinite
dimension:
and we compare
the shadow of this solution with the solution of
the original equation:
The
discrete formulation of the wave equation reveals original phenomena. For
example for the “half” of the wave equation we have the following situation:
an initial vibration of infinitely small amplitude can at some time later
concentrate all its energy in one point. Then we have a more theory with more
information.
Keywords and phrases: discretization, special functions, shadow, PDE, ODE.
