![](/images/graphics-bg.png)
An Unconditionally Stable Method for Solving the Acoustic Wave Equation
Joint Authors
Fu, Zhi-Kai
Shi, Li-Hua
Huang, Zheng-Yu
Fu, Shang-Chen
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fu, Zhi-Kai& Shi, Li-Hua& Huang, Zheng-Yu& Fu, Shang-Chen. 2015. An Unconditionally Stable Method for Solving the Acoustic Wave Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073669
Modern Language Association (MLA)
Fu, Zhi-Kai…[et al.]. An Unconditionally Stable Method for Solving the Acoustic Wave Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1073669
American Medical Association (AMA)
Fu, Zhi-Kai& Shi, Li-Hua& Huang, Zheng-Yu& Fu, Shang-Chen. An Unconditionally Stable Method for Solving the Acoustic Wave Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073669