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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.
Sidra Saleem, Imran Aziz, Malik Zawwar Hussain. (2019) Numerical Solution of Vibration Equation using Haar Wavelet, Punjab University Journal of Mathematics, Volume 51, Issue 3.
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