Convergence Analysis for Wave Equation by Explicit Finite Difference Equation with Drichlet and Neumann Boundary Condition

There are many problems in the field of science, engineering and technology which can be solved by differential equations formulation. The wave equation is a second order linear hyperbolic partial that describes propagation variety waves, such as sound or water waves. In this paper we consider convergence analysis explicit schemes for solving one dimensional, time-dependent with Drichlet Neumann boundary condition. Taylor's series expansion used to expand finite difference approximations scheme. We present derivation develop computer program implement it use spectral radius Matrix obtained from discretization Von stability condition determine stability, consistence method truncated error discretized method. Using Lax Equivalence Theorem, methods was described testing consistency methods. And found out scheme stable conditionally Derivative