The approximation of the solution of heat conduction problem in circular plate with concentrated initial heat

Akhmedov, Abdulkasim and Mohd Zuki, Salleh and Rakhimov, Abdumalik (2024) The approximation of the solution of heat conduction problem in circular plate with concentrated initial heat. In: AIP Conference Proceedings. AIP Conference Proceedings; 3rd International Conference on Applied and Industrial Mathematics and Statistics 2022, ICoAIMS 2022 , 24 - 26 August 2022 , Virtual, Online. pp. 1-7., 2895 (020008). ISSN 0094-243X (Published)

Pdf p3_2024 Abdulkasim ICOAIMS22 AIP RDU223203.pdf Restricted to Repository staff only Download (687kB) | Request a copy

Abstract

The approximation of the solution of the heat equation by using the spectral decompositions of the distributions on circular region where initially heat source concentrated at a point is studied. A solution of the problem represented as the Fourier Bessel series that will be understood in terms of distributions. Regularized solutions for different values of the order of Riesz means at a singular point are analysed. The numerical approximation of the solution of heat equations on the circular plate with the singular initial heat source is carried out with the help of MATLAB software. The optimization of the regularization of the series solutions at a non-singular point of the plates at initial time and critical index is established, which guaranteed to achieve the good convergence of the Riesz means at the index exceeding a critical point.

Item Type:	Conference or Workshop Item (Paper)
Additional Information:	Indexed by Scopus
Uncontrolled Keywords:	Heat equation; MATLAB; Heat and mass transfer
Subjects:	Q Science > QA Mathematics
Faculty/Division:	Institute of Postgraduate Studies Center for Mathematical Science
Depositing User:	Dr. Mohd Zuki Salleh
Date Deposited:	22 Jan 2025 07:24
Last Modified:	22 Jan 2025 07:24
URI:	http://umpir.ump.edu.my/id/eprint/43665
Download Statistic:	View Download Statistics

Actions (login required)

View Item