On Optimal Discretization of Solutions of the Heat Equation and the Limit Error of the Optimum Computing Unit

Utesov A.B. Bazarkhanova A.A.
December 2021 Pleiades journals

Differential Equations
2021 #57 Issue 12 1726 - 1735 pp.

Abstract: In the framework of the general statement of the operator reconstruction problem, theproblem of discretization of solutions of the heat equation with the initial condition f in the periodic anisotropic Sobolev class is solvedby computing units constructed from the trigonometric Fourier coefficients (Formula presented.) in the metric of the space (Formula presented.). The error (Formula presented.) of computing thetrigonometric Fourier coefficients of the initial condition f corresponding to the optimal computing unit isalso found, and the sharpness of the order of the error (Formula presented.) is proved.

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K. Zhubanov Aktobe Regional University, Aktobe, 030000, Kazakhstan
Nazarbayev University, Nur-Sultan, 010000, Kazakhstan

K. Zhubanov Aktobe Regional University
Nazarbayev University

10 лет помогаем публиковать статьи Международный издатель

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