Abstract:
In this study, the numerical solution of second order one dimensional linear
hyperbolic telegraph equations using crank Nicholson and stable finite difference
method have been presented. First, the given domain or region is discritized and the
derivatives of the differential equation were replaced by finite difference
approximations and then, transformed to system of equations which can be solved by
matrix inverse method. The stability and consistency of the method are established
which shows convergence of the method. To validate the applicability of the method,
model examples have been considered and solved at different mesh sizes. As it can be
observed from the numerical results presented in Tables and graphs, the present
method approximates the exact solution very well.
