Abstract:
We find the approximate solution for hyperbolic equation in one space
dimension using two finite different schemes: Lax- Wendroff and upwind
schemes Then, we study Fourier analysis of these two schemes. we also
approximate the numerical solution of system of hyperbolic equations by
using finite volume scheme and leap-frog schemes. As well, we study the
Fourier analysis of these two schemes. Finally, we study the consistency,
convergence and stability for hyperbolic equation in one space dimension
and we state and prove the main part of the key lax Equivalence theorem.