The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators

Akhmedov, Abdulkasim and Salleh, Mohd Zuki and Rakhimov, Abdumalik (2021) The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 86 (2). pp. 101-106. ISSN : 2289-7879

PDF - Published Version Restricted to Repository staff only Download (352kB) | Request a copy

Abstract

The current research is devoted to the investigation of the spectral expansions of elliptic differential operators corresponding to singular distributions, which can be used to describe the vibration process made of thin elastic membrane stretched tightly over a circular frame. By using the property that deflection of the membrane during the motion remains small compared to the size of the membrane we have obtained the sufficient conditions for summability of the spectral expansions connected with wave problems on the regions of the rectangular type.

Item Type:	Article (Editorial)
Additional Information:	6741/92858
Uncontrolled Keywords:	Spectral expansion, wave problem, elliptic differential operator
Subjects:	T Technology > T Technology (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Professor Abdumalik Rakhimov
Date Deposited:	07 Oct 2021 09:34
Last Modified:	07 Oct 2021 09:36
URI:	http://irep.iium.edu.my/id/eprint/92858

Actions (login required)

View Item