Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions

Charyyar Ashyralyyev; Ahmet G¨onenc¸

doi:10.12732/ijam.v34i2.5

Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions

Charyyar Ashyralyyev, Ahmet G¨onenc¸

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

4 Citations (Scopus)

Abstract

In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.

Original language	English
Pages (from-to)	273-282
Number of pages	10
Journal	International Journal of Applied Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.12732/ijam.v34i2.5
Publication status	Published - 2021
Externally published	Yes

Keywords

Crank-Nicholson scheme
difference scheme
integral condition
reverse parabolic equation
stability estimates
well-posedness

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10.12732/ijam.v34i2.5

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title = "Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions",

abstract = "In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.",

keywords = "Crank-Nicholson scheme, difference scheme, integral condition, reverse parabolic equation, stability estimates, well-posedness",

author = "Charyyar Ashyralyyev and Ahmet G¨onenc¸",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2021",

doi = "10.12732/ijam.v34i2.5",

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T1 - Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions

AU - Ashyralyyev, Charyyar

AU - G¨onenc¸, Ahmet

PY - 2021

Y1 - 2021

N2 - In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.

AB - In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.

KW - Crank-Nicholson scheme

KW - difference scheme

KW - integral condition

KW - reverse parabolic equation

KW - stability estimates

KW - well-posedness

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U2 - 10.12732/ijam.v34i2.5

DO - 10.12732/ijam.v34i2.5

M3 - Article

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SN - 1311-1728

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SP - 273

EP - 282

JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 2

ER -

Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions

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Keywords

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