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Inverse coefficient problem for mass transfer in two-zone cylindrical porous medium

B. Kh. KhuzhayorovSamarkand State University, University Boulevard 15, 140100, Samarkand, UzbekistanFadzilah Md AliDepartment of Mathematics, Faculty of Science, University Putra Malaysia, 43300 Serdang, MalaysiaFozil SulaymonovDepartment of Mathematics, Djizakh state pedagogical institute, Rashidova Street 4, 708000, Djizakh, UzbekistanErkin KholiyarovSamarkand State University, University Boulevard 15, 140100, Samarkand, Uzbekistan
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In the paper posed and solved numerically the inverse problem of mass transfer in a medium consisting of macroporous and microporous cylindrical zones. By solving the direct problem on the basis of the diffusion approach developed “initial data,” and inverse problem was solved using the identification method to determine the mass transfer coefficient in the kinetic equation. Also solved the direct problem on the basis of the kinetic approach, using the obtained the solution of the inverse problem, and it is shown that the diffusion and kinetic approaches yield similar results.

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