A STUDY OF THIN PLATE VIBRATION USING HOMOTOPY PERTUBATION ALGORITHM

Abstract

In this paper, we apply homotopy perturbation method for the numerical solution of three dimensional second-order partial differential equation which occurred in a plate vibration behaviors. The MAPLE 18 Mathematical software was used to develop a four steps algorithm based on homotopy perturbation method (HPM). Also,we have tested the HPM on the solving of different implementations which show the efficiency and accuracy of the algorithm.The suggested algorithm is quite efficient and practically well suited for use in this problem.Three test cases are considered to verify the reliability and efficiency of the method.The approximated solutions are in good agreement with analytical solutions for the tested problems Moreover, the approximated solutions obtained proved that the proposed method is easy,efficient and accurate.

Keywords

• Second-order Partial Differential Equation,homotopy perturbation method,MAPLE 18 Mathematical software,four steps algorithm,analytical solutions

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