On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer

Autor:	D. Utebaev, G.Kh. Utepbergenova, K.O. Tleuov
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Aller’s equation finite element method difference schemes stability a priori estimates convergence Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 102, Iss 2 (2021)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011
DOI:	10.31489/2021m2/129-141
Popis:	In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling of temporal and spatial variables. The stability and convergence of the constructed numerical algorithms are proved, the corresponding a priori estimates are obtained in various norms, which are used later to obtain estimates of the accuracy of the scheme under weak assumptions on the smoothness of solutions to the differential problem.
Databáze:	Directory of Open Access Journals
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