https://doi.org/10.1140/epjp/i2014-14251-7
Regular Article
Uncertain vibration equation of large membranes
Department of Mathematics, National Institute of Technology Rourkela, 769 008, Odisha, India
* e-mail: sne_chak@yahoo.com
Received:
24
June
2014
Accepted:
29
September
2014
Published online:
21
November
2014
The study of the vibration of large membranes is important due to its well-known applications. There exist various investigations for the above problem where the variables and parameters are given as crisp/exact. In practice, we may not have these parameters exactly but those may be known in some uncertain form. In the present paper, these uncertainties are taken as interval/fuzzy and the authors propose here a new method viz. that of the double parametric form of fuzzy numbers to handle the uncertain problem of large membranes. Finally, the problem has been solved using the Homotopy Perturbation Method (HPM). The present method performs very well in terms of computational efficiency. The reliability of the method is shown for obtaining an approximate numerical solution for different cases. Results are given in terms of plots and are also compared in special cases.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014
