Mathematical modeling of anomalous filtration and solute transport based on fractional darcy’s law

J. Makhmudov, Z. Kaytarov, M. Mustofoeva

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2026-yil

Annotatsiya

In this paper, a problem of anomalous fluid filtration and solute transport is considered. Fractional derivatives are used to represent anomaly of the filtration process. Using finite difference method, the problem is solved and obtained results are analyzed. According to taken results, decreasing the derivation order in the filtration law, leads to a decrease in the filtration velocity especially in the zones near to the source.

Maqola ma’lumotlari
MualliflarJ. Makhmudov, Z. Kaytarov, M. Mustofoeva
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2026-07-01
Jild2
Son3
Betlar129-134
TilIngliz
DOI10.59251/2181-3973.2025.v1.138.1.4017
Indeksga qo‘shilgan2026-09-02

Iqtibos keltirish

APAJ. Makhmudov, Z. Kaytarov, & M. Mustofoeva (2026). MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 2(3), 129-134. https://doi.org/10.59251/2181-3973.2025.v1.138.1.4017
GOST (OAK)J. Makhmudov, Z. Kaytarov, M. Mustofoeva MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2026. – T. 2, № 3. – P. 129-134. – DOI: 10.59251/2181-3973.2025.v1.138.1.4017.
MLAJ. Makhmudov, Z. Kaytarov, and M. Mustofoeva. “MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 2(3), 129-134, 2026. https://doi.org/10.59251/2181-3973.2025.v1.138.1.4017
ChicagoJ. Makhmudov, Z. Kaytarov, and M. Mustofoeva. “MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 2(3), 129-134 (2026). https://doi.org/10.59251/2181-3973.2025.v1.138.1.4017
HarvardJ. Makhmudov, Z. Kaytarov, and M. Mustofoeva (2026) ‘MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 2(3), 129-134. https://doi.org/10.59251/2181-3973.2025.v1.138.1.4017
BibTeX
@article{jmakhmudov2026,
  title = {MATHEMATICAL MODELING OF ANOMALOUS FILTRATION AND SOLUTE TRANSPORT BASED ON FRACTIONAL DARCY’S LAW},
  author = {J. Makhmudov and Z. Kaytarov and M. Mustofoeva},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2026},
  volume = {2},
  number = {3},
  pages = {129-134},
  doi = {10.59251/2181-3973.2025.v1.138.1.4017},
  url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.4017}
}

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