Continuous Numerical Method of Collocation Interpolation for the Solution of Wave Equations Using Laguerre Polynomial approximation

Abstract

A new Continuous interpolant method based on polynomial approximation is here proposed for solving wave equation subject to some initial and boundary conditions. The method results from discretization of the wave equation which leads to the production of a system of algebraic equations. By solving the system of algebraic equations by employing the continuous interpolant scheme we obtain the problem approximate solutions.