Article

On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

Allaberen AshyralyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, TurkeyCharyyar AshyralyyevDepartment of Engineering Mathematics, Gumushane University, 29100, Gumushane, Turkey

Computational Mathematics and Mathematical Physicsjournal2022en

ABI

Abstract

In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.

Topics

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

Identifiers

DOI: 10.1134/s0965542522060021

Citations and references

Cited by 3 28 references

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