Maqola

On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation

Мерсаид АриповM. Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan;Dauletbay UtebaevBerdakh Karakalpak State University, Nukus, UzbekistanMukhabbad KazimbetovaBerdakh Karakalpak State University, Nukus, UzbekistanR.Sh. YarlashovBulletin of the Karaganda University

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2023en

ABI

Annotatsiya

Difference schemes of the finite difference method and the finite element method of high-order accuracy in time and space are proposed and investigated for a pseudo-parabolic Sobolev type equation. The order of accuracy in space is improved in two ways using the finite difference method and the finite element method. The order of accuracy of the scheme in time is improved by a special discretization of the time variable. The corresponding a priori estimates are determined and, on their basis, the accuracy estimates of the proposed difference schemes are obtained with sufficient smoothness of the solution to the original differential problem. Algorithms for the implementation of the constructed difference schemes are proposed.

Mavzular

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Advanced Numerical Methods in Computational Mathematics

Identifikatorlar

DOI: 10.31489/2023m1/24-37

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