Numerical solution for the wave equation

Abstract

In this paper we study numerical solutions for a hyperbolic system of equations using finite differences. In this setting, we propose the method of lines, with high precision in space. A class of some explicit, implicit and also semi-implicit schemes, with code variable methods, are presented. Finally, the analysis of some qualitative and quantitative proprieties of these methods is included.

Keywords:

• hyperbolic systems
• finite differences
• stability

2000 AMS Subject Classification :

• 65N40
• 65N38