The Approximation of the Solution of Wave Problems by Spectral  Expansions Connected with Elliptic Differential Operators

Abdulkasim Akhmedov; Mohd Zuki Salleh; Abdumalik Rakhimov

The Approximation of the Solution of Wave Problems by Spectral Expansions Connected with Elliptic Differential Operators

Authors

Abdulkasim Akhmedov Faculty of Mathematics and Science, Paragon International University, No 8, St 315, Boeng Kak 1, Toul Kork, 12151, Phnom Penh, Cambodia
Mohd Zuki Salleh Pusat Sains Matematik, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
Abdumalik Rakhimov Kulliyah of Engineering, International Islamic University of Malaysia, IIUM, 53100 Kuala Lumpur, Malaysia

Keywords:

Spectral expansion, wave problem, elliptic differential operator

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.

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Published

2024-03-28

How to Cite

Abdulkasim Akhmedov, Mohd Zuki Salleh, & Abdumalik Rakhimov. (2024). 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. Retrieved from https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/article/view/8147