NUMERICAL MODELING OF VARIABLE DENSITY HEAT CONDUCTION PROCESSES INVOLVED IN ABSORPTION PROCESSES IN SINGLE-COMPONENT NONLINEAR MEDIA

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Published: 2025-12-05
DOI: https://doi.org/10.66073/ReFocus-Conf/257
Keywords:
nonlinear heat transfer, parabolic equation, absorption, automodel method, standard equation, critical exponent, solution asymptotics, differential scheme, iterative method, numerical calculation, ×stability, heat dissipation rate, spatial localization, Samarsky–Sobol method, numerical–analytical modeling.×

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Mukimov Askar Shukhratovich
Acting Associate Professor, Department of Digital Technologies, Faculty of Digital Technologies, Alfraganus University

Abstract

In this work, mathematical models based on nonlinear parabolic equations describing heat transfer processes in a one-component nonlinear environment under the influence of the absorption process are studied. The main goal of the research is to develop analytical methods for analyzing these models, as well as to create a software package that allows calculating their numerical solutions and displaying the results in a visual form.

Article Details

Issue

Vol. 1 No. 1 (2025): Republican scientific-practical conference on “New Paradigms in Science, Technology and Education”

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Articles
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mukimov Askar Shukhratovich. (2025). NUMERICAL MODELING OF VARIABLE DENSITY HEAT CONDUCTION PROCESSES INVOLVED IN ABSORPTION PROCESSES IN SINGLE-COMPONENT NONLINEAR MEDIA. Partner Conferences of the International Scientific Journal Research Focus, 1(1), 42-46. https://doi.org/10.66073/ReFocus-Conf/257

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