Akhmedov, Abdulkasim and Mohd Zuki, Salleh 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). 101 -106. ISSN 2289-7879. (Published)
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Abstract
In this research, we investigate the spectral expansions connected with elliptic differential operators in the space of singular distributions, which describes the vibration process made of thin elastic membrane stretched tightly over a circular frame. The sufficient conditions for summability of the spectral expansions connected with wave problems on the disk are obtained by taking into account that the deflection of the membrane during the motion remains small compared to the size of the membrane and for wave propagation problems, the disk is made of some thermally conductive material.
| Item Type: | Article |
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| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Spectral expansion; Wave problem; Elliptic differential operator |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Institute of Postgraduate Studies Center for Mathematical Science |
| Depositing User: | Mrs Norsaini Abdul Samat |
| Date Deposited: | 29 Dec 2021 02:12 |
| Last Modified: | 25 May 2022 03:24 |
| URI: | http://umpir.ump.edu.my/id/eprint/32667 |
| Download Statistic: | View Download Statistics |
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