Chapter 6 Hyperbolic Equations
Pp. 125-147 (23)
In chapter 6, the finite difference scheme with weight 0 ≤ σ ≤ 1 has been built for the
wave equation with initial boundary value conditions. It is proved that the scheme is convergent and
the global error estimate is given. The scheme with weight is solved by the method of separation
of variables. The Mathematica module waveEqn is designed and applied to initial boundary value
problems for the wave equation. In the last section, the wave equation is solved by the method of
lines. The chapter ends with a set of questions.
University of Warsaw.