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A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order
Joint Authors
Rusagara, Innocent
Kiliçman, Adem
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The standard version of acoustic wave equation is modified using the concept of the generalized Riemann-Liouville fractional order derivative.
Some properties of the generalized Riemann-Liouville fractional derivative approximation are presented.
Some theorems are generalized.
The modified equation is approximately solved by using the variational iteration method and the Green function technique.
The numerical simulation of solution of the modified equation gives a better prediction than the standard one.
American Psychological Association (APA)
Rusagara, Innocent& Kiliçman, Adem. 2013. A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010395
Modern Language Association (MLA)
Rusagara, Innocent& Kiliçman, Adem. A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1010395
American Medical Association (AMA)
Rusagara, Innocent& Kiliçman, Adem. A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1010395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010395