Numerical Modeling of Heat Conduction Equation with Piecemeal Intermittent Continuous Coefficient
N. Begaliyevich, and Y. Mamarajabovich. Central Asian Journal of Mathematical Theory and Computer Sciences, 2 (12):
17-24(December 2021)
Abstract
In this paper, the thermal conductivity equation with a continuous coefficient of fractional continuity is numerically modeled by differential methods and spectral-grid methods. For numerical modeling of the problem, a numerical solution algorithm was developed on the basis of differential schemes and spectral-grid methods, software for the algorithm was developed, and the numerical results were analyzed. Extensive computational experiments were performed at different values of the characteristic parameters, the numerical results obtained and their analysis were presented.
%0 Journal Article
%1 noauthororeditor
%A Begaliyevich, Normurodov Chori
%A Mamarajabovich, Yuldashev Shamsiddin
%D 2021
%J Central Asian Journal of Mathematical Theory and Computer Sciences
%K differential evolutionary method modeling numerical problems schemes spectral
%N 12
%P 17-24
%T Numerical Modeling of Heat Conduction Equation with Piecemeal Intermittent Continuous Coefficient
%U http://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/138
%V 2
%X In this paper, the thermal conductivity equation with a continuous coefficient of fractional continuity is numerically modeled by differential methods and spectral-grid methods. For numerical modeling of the problem, a numerical solution algorithm was developed on the basis of differential schemes and spectral-grid methods, software for the algorithm was developed, and the numerical results were analyzed. Extensive computational experiments were performed at different values of the characteristic parameters, the numerical results obtained and their analysis were presented.
@article{noauthororeditor,
abstract = {In this paper, the thermal conductivity equation with a continuous coefficient of fractional continuity is numerically modeled by differential methods and spectral-grid methods. For numerical modeling of the problem, a numerical solution algorithm was developed on the basis of differential schemes and spectral-grid methods, software for the algorithm was developed, and the numerical results were analyzed. Extensive computational experiments were performed at different values of the characteristic parameters, the numerical results obtained and their analysis were presented.
},
added-at = {2022-02-21T10:43:28.000+0100},
author = {Begaliyevich, Normurodov Chori and Mamarajabovich, Yuldashev Shamsiddin},
biburl = {https://www.bibsonomy.org/bibtex/27eb2534444e996b4dfe699b7175bb9bc/centralasian_20},
interhash = {ca8958207e7509954f54089e72ab960a},
intrahash = {7eb2534444e996b4dfe699b7175bb9bc},
issn = {2660-5309},
journal = {Central Asian Journal of Mathematical Theory and Computer Sciences},
keywords = {differential evolutionary method modeling numerical problems schemes spectral},
language = {English},
month = {December},
number = 12,
pages = {17-24},
timestamp = {2022-02-21T10:43:28.000+0100},
title = {Numerical Modeling of Heat Conduction Equation with Piecemeal Intermittent Continuous Coefficient
},
url = {http://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/138},
volume = 2,
year = 2021
}