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The Hyperbolic Equation
Using the same ideas as for the parabolic equation, hyperbolic
implements the numerical solution of
and usual boundary conditions. In particular, solutions of the equation
utt - cu = 0 are waves moving with speed
.
Using a given triangulation of , the method of lines yields the second order ODE system
after we eliminate the unknowns fixed by Dirichlet boundary conditions. As before, the stiffness matrix K and the mass matrix M are assembled with the aid of the function assempde
from the problems
![]() | The Parabolic Equation | The Eigenvalue Equation | ![]() |