Comparison of some numerical methods for solving boundary-value problems for a generalized equation of moisture transfer
Dauletbay UtebaevKarakalpak State University named after Berdakh, 230112, Nukus city, Republic of Karakalpakstan, UzbekistanGulzira Khabibullaevna UtepbergenovaKarakalpak State University named after Berdakh, 230112, Nukus city, Republic of Karakalpakstan, UzbekistanKuat TileuovNukus branch of Tashkent University of Information Technologies 230100, Tashkent, Uzbekistan
ABI
Abstract
In this article, four difference schemes for solving the boundary value problem for the non-stationary Aller-Lykov moisture transfer equation are proposed and investigated. The schemes are constructed in space and time using two methods, the finite differences method and the finite elements method. The stability and convergence of the constructed numerical algorithms are proved, and the estimates of the accuracy of the proposed difference schemes are obtained with sufficient smoothness of the solution to the original differential problem. A computational experiment was used to test the schemes. Their comparative analysis was performed.
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