Finite difference method solution for Klein-Gordon equation

In this study, Klein-Gordon Equation, which has Dirichlet Boundary Condition is solved with Finite Difference Method and using Maple program. While we find solution, different finite difference schemes are used such as Implicit and Explicit scheme, besides these schemes are compared. The Analysis of stability, convergence and uniqueness of the approximate solutions are done. The difference of Analytic and Approximate solution are discussed with using numerical examples. These differences are shown with graphs and the Analysis of errors are done. While calculating approximate solution, due to using computer program, we compare the difference of different ratios for separating the domain of solution.