Research Article | OPEN ACCESS
Numerical Analysis of the Wave Equation
1Masoud Ghaemi, 2Majid Rajayi, 3Davood Sharifi and 2Morteza Souri
1Department of Civil Engineering, Gonbad Shams University
2Department of Mechanic Engineering, Bafgh Branch, Islamic Azad University, Yazd, Iran
3Department of Mining Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Research Journal of Applied Sciences, Engineering and Technology 2013 7:1135-1143
Received: March 19, 2012 | Accepted: February 08, 2013 | Published: July 05, 2013
Abstract
This study presents an overview of the acoustic wave equation and the common time-domain numerical solution strategies in closed environments. First, the wave equation is presented and its qualities analyzed. Common principles of numerical approximation of derivatives are then reviewed. Based on them, the Finite Difference (FD) and the Finite Element Methods (FEM) for the solution of the wave equation are presented along with algorithmic and practical considerations.
Keywords:
Finite difference method, finite element method, numerical analysis,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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