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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2013 Volume 5, Issue 2, Pages 45–51 (Mi vyurm74)

This article is cited in 1 paper

Mathematics

Numerical solution of delayed linearized quasistationary phase-field system of equations

E. A. Omelchenkoa, M. V. Plekhanovab, P. N. Davydovc

a Ural Branch of Russian Academy of Justice
b South Ural State University
c Chelyabinsk State University

Abstract: For delayed linearized quasistationary phase-field system of equations the numerical method of solution was proposed. The convergence of explicit difference scheme that takes account of delay in the system under investigation was thoroughly studied. On the basis of the results obtained the implementation of the method was realized.

Keywords: Sobolev type equation; quasistationary phase-field system of equations; difference scheme.

UDC: 519.633

Received: 15.04.2013



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