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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 381052, 7 pages
Research Article

An Unconditionally Stable Method for Solving the Acoustic Wave Equation

National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering, PLA University of Science and Technology, Nanjing 210007, China

Received 16 April 2015; Revised 21 July 2015; Accepted 26 July 2015

Academic Editor: Mitsuhiro Okayasu

Copyright © 2015 Zhi-Kai Fu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An unconditionally stable method for solving the time-domain acoustic wave equation using Associated Hermit orthogonal functions is proposed. The second-order time derivatives in acoustic wave equation are expanded by these orthogonal basis functions. By applying Galerkin temporal testing procedure, the time variable can be eliminated from the calculations. The restriction of Courant-Friedrichs-Levy (CFL) condition in selecting time step for analyzing thin layer can be avoided. Numerical results show the accuracy and the efficiency of the proposed method.