Asian Journal of Mathematics and Computer Research

Abstract

The description of Crank–Nicolson finite difference method for the numerical solution of hyperbolic partial differential equations, its numerical properties and its application to the one dimensional wave equation is presented in this project. The analysis of the method, i.e. consistency and stability was carried out and the method was found to be convergent. Numerical solutions of some wave equations were presented using MATLAB program, the results performed admirably when compared to the analytical solution.