Electronic Proceedings of the 12^th Asian Technology Conference in Mathematics

Abstract for 12846

Variational iteration method and Homotopy-perturbation for solving

wave equations

Authors: amin barari, D.D Ganji, abdoul reza Ghotbi, Hamid Mohammadi

Affiliations: ms student of mazandaran university in civil

engineering, associate prof in mechanical engineering, Ms student in

civil engineering

Keywords: Advanced, wave equations, the one-dimensional wave

equation, kinematic wave

In this paper, the solutions of the three types of wave equations

consist of one-dimensional wave equation, kinematics wave equation and

non-linear homogeneous wave equation are obtained by means of homotopy

perturbation method (HPM) and variational iteration method (VIM). These equations

describe the propagation of a wave (disturbance), and it arises in a

wide variety of physical problems. The results reveal that the homotopy

perturbation method (HPM) and variational iteration method (VIM) are

very effective, convenient and quite accurate to systems of partial

differential equations. It is predicted that the HPM and VIM can be found widely

applicable in engineering.

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