Article

Difference schemes of high accuracy for equation of spin waves in magnets

Мирсаид АриповDauletbay UtebaevZhusipbay NurullaevKarakalpak State University named after Berdakh

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2021en

ABI

Abstract

Three-parameter difference schemes of the finite element method with a high order of accuracy are considered in the article for a mathematical model of spin waves in magnets (Sobolev-type equations). Discretization of time and space variables is conducted on the basis of the finite element method. The parameters of the scheme allow choosing the best approximation and accuracy, and an economic algorithm for numerical implementation. Theorems on the stability and convergence of the considered difference schemes are obtained.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.56017/2181-1318.1205

Citations and references

Cited by 02 references

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