Anomalous Filtration in a Rectangular Medium
Maxmudov J.Department of Mathematical Modeling, Faculty of Artificial Intelligence and Digital Technologies, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTANUsmonov A.Department of Mathematical Modeling, Faculty of Artificial Intelligence and Digital Technologies, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTANAkramov Sh.Department of Mathematical Modeling, Faculty of Artificial Intelligence and Digital Technologies, Samarkand State University, 15, University Blvd., Samarkand 140104, UZBEKISTANGaybulov Yu.Samarkand State University, University of Architecture and Civil Enginering named after Mirzo Ulug’bek. Lolazor Str.70. Samarkand, 140147, UZBEKISTAN
2026
Ochiq kirishOlmos
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ABI
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In this paper, the problem of anomalous filtration of a homogeneous fluid in a two-dimensional porous medium is considered. The conductivity equation is given by a fractional derivative in two dimensions. An anomalous model of fluid filtration in two dimensions is numerically analyzed. The problem of constant pressure at the boundary is considered. The effect of the anomaly on the pressure field distribution and the filtration rate is evaluated.
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