STABLE ALGORITHM FOR THE WAVE EQUATION USING FINITE DIFFERENCE METHOD

STABLE ALGORITHM FOR THE WAVE EQUATION USING FINITE DIFFERENCE METHOD

A. Loumi

[PDF]

Abstract

Abstract. The numerical solution of hyperbolic equations has shown instabilities in some studies (see [2]). In this paper, we use a trick to remedy the reasons for instabili- ties of particular example of hyperbolic equation, namely the wave equation. We propose a simple method based on the finite difference method and the projection on a manifold that conserves energy.

Keywords

wave equation, projection, finite difference method.