The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators
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 th...
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| Format: | Article |
| Language: | English |
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Akademi Baru
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/32667/ http://umpir.ump.edu.my/id/eprint/32667/1/The%20approximation%20of%20the%20solution%20of%20wave%20problems.pdf |
| _version_ | 1848824080645488640 |
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| author | Akhmedov, Abdulkasim Mohd Zuki, Salleh Rakhimov, Abdumalik |
| author_facet | Akhmedov, Abdulkasim Mohd Zuki, Salleh Rakhimov, Abdumalik |
| author_sort | Akhmedov, Abdulkasim |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T03:07:21Z |
| format | Article |
| id | ump-32667 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:07:21Z |
| publishDate | 2021 |
| publisher | Akademi Baru |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-326672025-06-03T04:32:02Z http://umpir.ump.edu.my/id/eprint/32667/ The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators Akhmedov, Abdulkasim Mohd Zuki, Salleh Rakhimov, Abdumalik QA Mathematics 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. Akademi Baru 2021-10 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/32667/1/The%20approximation%20of%20the%20solution%20of%20wave%20problems.pdf 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) https://doi.org/10.37934/arfmts.86.2.101106 https://doi.org/10.37934/arfmts.86.2.101106 |
| spellingShingle | QA Mathematics Akhmedov, Abdulkasim Mohd Zuki, Salleh Rakhimov, Abdumalik The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title | The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title_full | The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title_fullStr | The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title_full_unstemmed | The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title_short | The approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| title_sort | approximation of the solution of wave problems by spectral expansions connected with elliptic differential operators |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/32667/ http://umpir.ump.edu.my/id/eprint/32667/ http://umpir.ump.edu.my/id/eprint/32667/ http://umpir.ump.edu.my/id/eprint/32667/1/The%20approximation%20of%20the%20solution%20of%20wave%20problems.pdf |