The second order of ADS for reverse parabolic boundary value problem with integral condition

Charyyar Ashyralyyev

doi:10.29228/proc.36

The second order of ADS for reverse parabolic boundary value problem with integral condition

Charyyar Ashyralyyev

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Finite difference method to solve nonlocal reverse parabolic (RP) problem with integral condition are applied. The second order of accuracy difference scheme (ADS) for approximation of RP problem is proposed. Stability estimates (SEs) for solutions of this difference scheme (DS) are proved. Later, we propose the second order of ADS for approximation of multidimensional RP boundary value problem (BVP) with first kind boundary condition (BC) and establish SEs for its solu-tion. Numerical illustration for simple test problems is given.

Original language	English
Pages (from-to)	346-359
Number of pages	14
Journal	Proceedings of the Institute of Mathematics and Mechanics
Volume	46
Issue number	2
DOIs	https://doi.org/10.29228/proc.36
Publication status	Published - 2020
Externally published	Yes

Keywords

Difference scheme
Integral condition
Reverse parabolic problem
Stability esti-mates
Well-posedness

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10.29228/proc.36

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abstract = "Finite difference method to solve nonlocal reverse parabolic (RP) problem with integral condition are applied. The second order of accuracy difference scheme (ADS) for approximation of RP problem is proposed. Stability estimates (SEs) for solutions of this difference scheme (DS) are proved. Later, we propose the second order of ADS for approximation of multidimensional RP boundary value problem (BVP) with first kind boundary condition (BC) and establish SEs for its solu-tion. Numerical illustration for simple test problems is given.",

keywords = "Difference scheme, Integral condition, Reverse parabolic problem, Stability esti-mates, Well-posedness",

author = "Charyyar Ashyralyyev",

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AB - Finite difference method to solve nonlocal reverse parabolic (RP) problem with integral condition are applied. The second order of accuracy difference scheme (ADS) for approximation of RP problem is proposed. Stability estimates (SEs) for solutions of this difference scheme (DS) are proved. Later, we propose the second order of ADS for approximation of multidimensional RP boundary value problem (BVP) with first kind boundary condition (BC) and establish SEs for its solu-tion. Numerical illustration for simple test problems is given.

KW - Difference scheme

KW - Integral condition

KW - Reverse parabolic problem

KW - Stability esti-mates

KW - Well-posedness

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JO - Proceedings of the Institute of Mathematics and Mechanics

JF - Proceedings of the Institute of Mathematics and Mechanics

IS - 2

ER -

The second order of ADS for reverse parabolic boundary value problem with integral condition

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Keywords

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