Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies

Shadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., Бусоно, Сухендро

Ҳисоблаш ва амалий математика муаммолари · 2026-yil

Annotatsiya

This research presents a multidimensional mathematical model and a robust secondorder numerical algorithm for coupled heat and moisture transfer with pressure-driven gas flow. Utilizing fractional Caputo derivatives (0 < ???? ⩽ 1), the model accounts for system memory and anomalous diffusion in heterogeneous porous media, integrating convection, phase transitions, and pressure dynamics. It incorporates environmental interactions, internal heat/moisture sources, solar radiation, and spatially varying transfer coefficients. A high-order stable difference scheme ensures computational efficiency and numerical stability. The algorithm effectively predicts the spatiotemporal evolution of temperature, moisture, and pressure fields. Results highlight how material heterogeneity and diurnal solar radiation create localized zones of high temperature and moisture accumulation, significantly impacting the overall dynamics of storage and drying processes.

Maqola ma’lumotlari
MualliflarShadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., Бусоно, Сухендро
JurnalҲисоблаш ва амалий математика муаммолари
NashriyotТошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази
ISSN2181-8460, 2181-046X
Nashr sanasi2026-05-02
Son2
Betlar61-88
TilIngliz
DOI10.71310/pcam.2_72.2026.05
Indeksga qo‘shilgan2026-08-27

DOI: 10.71310/pcam.2_72.2026.05 · Maqolaning asl sahifasi

Kalit so‘zlar

mathematical model, Caputo fractional derivative, heat transfer, moisture transfer, internal heat and moisture release, heterogeneous porous body, математическая модель, дробная производная Капуто, теплоперенос, влагоперенос, внутреннее тепловлаговыделение, неоднородное пористое тело

Iqtibos keltirish

APAShadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., & Бусоно, Сухендро (2026). Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies. Ҳисоблаш ва амалий математика муаммолари, (2), 61-88. https://doi.org/10.71310/pcam.2_72.2026.05
GOST (OAK)Shadmanov, I.U. va b. Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 2. – P. 61-88. – DOI: 10.71310/pcam.2_72.2026.05.
MLAShadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., and Бусоно, Сухендро. “Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies.” Ҳисоблаш ва амалий математика муаммолари, (2), 61-88, 2026. https://doi.org/10.71310/pcam.2_72.2026.05
ChicagoShadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., and Бусоно, Сухендро. “Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies.” Ҳисоблаш ва амалий математика муаммолари, (2), 61-88 (2026). https://doi.org/10.71310/pcam.2_72.2026.05
HarvardShadmanov, I.U., Izzatulloev, A.E., Busono, Suhendro, Шадманов, И.У., Иззатуллоев, А.Э., and Бусоно, Сухендро (2026) ‘Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies’, Ҳисоблаш ва амалий математика муаммолари, (2), 61-88. https://doi.org/10.71310/pcam.2_72.2026.05
BibTeX
@article{shadmanoviu2026,
  title = {Fractional Model and Robust Numerical Algorithm for Coupled Heat and Moisture Transfer in Heterogeneous Porous Bodies},
  author = {Shadmanov, I.U. and Izzatulloev, A.E. and Busono, Suhendro and Шадманов, И.У. and Иззатуллоев, А.Э. and Бусоно, Сухендро},
  journal = {Ҳисоблаш ва амалий математика муаммолари},
  year = {2026},
  number = {2},
  pages = {61-88},
  doi = {10.71310/pcam.2_72.2026.05},
  url = {https://doi.org/10.71310/pcam.2_72.2026.05}
}

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