Nonlinear effects and numerical results in salt transfer problems

In this paper, numerical solutions of the nonlinear equations of dust and salt transference processes are considered. The phenomenon of finite propagation velocity, dust disturbances, and groundwater filtration is established on the basis of self-similar analysis and the principle of comparing solut...

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Main Authors: Baltabaeva Rano, Djumabaev Kuanishbay, Axmedova Kunduz, Reimova Laura
Format: Article
Language:English
Published: EDP Sciences 2025-01-01
Series:E3S Web of Conferences
Subjects:
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/29/e3sconf_icfee2025_07002.pdf
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author Baltabaeva Rano
Djumabaev Kuanishbay
Axmedova Kunduz
Reimova Laura
author_facet Baltabaeva Rano
Djumabaev Kuanishbay
Axmedova Kunduz
Reimova Laura
author_sort Baltabaeva Rano
collection DOAJ
description In this paper, numerical solutions of the nonlinear equations of dust and salt transference processes are considered. The phenomenon of finite propagation velocity, dust disturbances, and groundwater filtration is established on the basis of self-similar analysis and the principle of comparing solutions.
format Article
id doaj-art-62bfce80deb44569a55bebcaee92e13e
institution DOAJ
issn 2267-1242
language English
publishDate 2025-01-01
publisher EDP Sciences
record_format Article
series E3S Web of Conferences
spelling doaj-art-62bfce80deb44569a55bebcaee92e13e2025-08-20T03:21:12ZengEDP SciencesE3S Web of Conferences2267-12422025-01-016290700210.1051/e3sconf/202562907002e3sconf_icfee2025_07002Nonlinear effects and numerical results in salt transfer problemsBaltabaeva Rano0https://orcid.org/0000-0002-2350-5314Djumabaev Kuanishbay1https://orcid.org/0009-0005-2733-5075Axmedova Kunduz2https://orcid.org/0009-0001-0667-428XReimova Laura3Mathematical faculty, Applied mathematics and computer Sciences Department, Karakalpak state universityMathematical faculty, Applied mathematics and computer Sciences Department, Karakalpak state universityApplied mathematics and intellectual technology faculty, Applied mathematics and Computing analysis Department, National university of Uzbekistan named after Mirzo UlugbekMathematical faculty, Differential equations Department, Karakalpak state universityIn this paper, numerical solutions of the nonlinear equations of dust and salt transference processes are considered. The phenomenon of finite propagation velocity, dust disturbances, and groundwater filtration is established on the basis of self-similar analysis and the principle of comparing solutions.https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/29/e3sconf_icfee2025_07002.pdfdegenerate parabolic equationself-similar and approximately self-similar solutionnonlinear medium
spellingShingle Baltabaeva Rano
Djumabaev Kuanishbay
Axmedova Kunduz
Reimova Laura
Nonlinear effects and numerical results in salt transfer problems
E3S Web of Conferences
degenerate parabolic equation
self-similar and approximately self-similar solution
nonlinear medium
title Nonlinear effects and numerical results in salt transfer problems
title_full Nonlinear effects and numerical results in salt transfer problems
title_fullStr Nonlinear effects and numerical results in salt transfer problems
title_full_unstemmed Nonlinear effects and numerical results in salt transfer problems
title_short Nonlinear effects and numerical results in salt transfer problems
title_sort nonlinear effects and numerical results in salt transfer problems
topic degenerate parabolic equation
self-similar and approximately self-similar solution
nonlinear medium
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/29/e3sconf_icfee2025_07002.pdf
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AT djumabaevkuanishbay nonlineareffectsandnumericalresultsinsalttransferproblems
AT axmedovakunduz nonlineareffectsandnumericalresultsinsalttransferproblems
AT reimovalaura nonlineareffectsandnumericalresultsinsalttransferproblems