Article

The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems

Allaberen AshyralyevBahcesehir University; RUDN University; Institute of Mathematics and Mathematical ModelingCharyyar AshyralyyevBahcesehir University; National University of Uzbekistan Named After Mirzo Ulugbek

Contemporary Mathematics Fundamental Directionsjournal2023en

ABI

Abstract

This is a discussion on the second-order accuracy difference schemes for approximate solution of the integral-type time-nonlocal parabolic problems. The theorems on the stability of r-modified Crank-Nicolson difference schemes and second-order accuracy implicit difference scheme for approximate solution of the integral-type time-nonlocal parabolic problems in a Hilbert space with self-adjoint positive definite operator are established. In practice, stability estimates for the solutions of the second-order accuracy in t difference schemes for the one and multidimensional time-nonlocal parabolic problems are obtained. Numerical results are given.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.22363/2413-3639-2023-69-1-32-49

Citations and references

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