Stability analysis of a weighted difference scheme for two-dimensional hyperbolic equations with integral conditions

Abstract

We consider two-dimensional hyperbolic equations with nonlocal purely integral conditions. We analyze the spectral properties of the finite difference scheme for the two-dimensional hyperbolic problem. To analyze the stability of a weighted difference scheme, we investigate the spectrum of a finite difference operator, subject to integral conditions.

Keywords

• Nonlocal boundary conditions
• hyperbolic equations
• spectrum of finite difference operator
• stability of finite difference scheme