Numerical Solution of Vibration Equation using Haar Wavelet

Abstract

In this paper, the numerical solution of widely used vibration equation with very large membrane is considered. A collocation method with Haar wavelet (HW) is applied for this purpose. The algorithm based on proposed method is very simple and easy to implement. Highly accurate approximate solutions are obtained with a reasonable number of collocation points. The method is tested upon several different exacts solutions of the vibration equation including polynomials and infinite series solutions. The numerical results confirm the accuracy, efficiency and robustness of the proposed method.