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Variational Iteration Method and Homotopy-Perturbation Method for Solving Different Types of Wave Equations

Barari A. نويسنده , Ghotbi Abdoul R نويسنده , Farrokhzad F. نويسنده , Ganji D. D. نويسنده

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Due to wide range of interest in use of wave equations to gain insight in to vibrating problems,Homotopy Perturbation Method (RPM) and Variational Iteration Method (VIM) are employed to approximate the solution of the three types of wave equations including one-dimensional wave equation, kinematic wave equation and non-linear homogeneous wave equation. The final results obtained by RPM and VIM are compared with those results obtained from the exact solution. The comparison shows a precise agreement between the results and introduces these new methods as the applicable methods which they need less computations and are much easier and more convenient than other approximate methods, so they can be widely used in engineering.

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