Simple Search:

A possible generalization of acoustic wave equation using the concept of perturbed derivative order


Citation

Atangana, Abdon and Kilicman, Adem (2013) A possible generalization of acoustic wave equation using the concept of perturbed derivative order. Mathematical Problems in Engineering, 2013. art. no. 696597. pp. 1-6. ISSN 1024-123X

Abstract / Synopsis

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.


Download File

[img]
Preview
PDF (Abstract)
A possible generalization of acoustic wave equation using the concept of perturbed derivative order.pdf

Download (84kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: 10.1155/2013/696597
Publisher: Hindawi Publishing Corporation
Keywords: Wave equations; Fractional order derivatives; Modified equation; Riemann-Liouville fractional derivatives; Standard versions; Variational iteration method.
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 09:14
Last Modified: 21 Sep 2015 15:27
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/696597
URI: http://psasir.upm.edu.my/id/eprint/30129
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item