Stability of finite difference schemes for two-space dimensional telegraph equation

This paper is devoted to the study of two-dimensional hyperbolic partial differential telegraph equation. Converting the PDE to an ODE yields exact solution to this problem. Then, using first-order finite difference techniques, we obtain approximate numerical solutions. The numerical solution's error analysis is provided. The stability estimates of finite difference schemes, as well as some numerical tests to check the correctness with regard to the precise solution are provided.