NUMERICAL INVESTIGATION OF WAVE EQUATIONS IN LARGE DOMAINS VIA A NOVEL VARIATIONAL ITERATION METHOD

Document Type : Original Article

Authors
Hossein Ghaneai 1
Mohammad Mirabi 2
Reza Rashidi 1
1 Department of Computer Engineering, Meybod University, Meybod, Iran
2 Department of Industrial Engineering, Meybod University, Meybod, Iran
10.22034/maco.3.1.8
Abstract
 The value of an auxiliary parameter incorporated into the well-known variational iteration method (VIM) to obtain solutions of wave equations in unbounded domains is discussed in this article. The suggested method, namely the optimal variational iteration method, is investigated for convergence. Furthermore, the proposed method is tested on onedimensional and two-dimensional wave equations in unbounded domains in order to better understand the solution mechanism and choose the best auxiliary parameter. Comparisons with results from the standard variational iteration procedure demonstrate that the auxiliary parameter is very useful in tracking the convergence field of the approximate solution.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 3, Issue 1
June 2022
Pages 73-83