Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

Charyyar Ashyralyyev; Tazegul Aydogdyevna Ashyralyyeva

doi:10.31489/2024m3/66-76

Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

Charyyar Ashyralyyev
, Tazegul Aydogdyevna Ashyralyyeva

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

1 Alıntı (Scopus)

Özet

We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	66-76
Sayfa sayısı	11
Dergi	Bulletin of the Karaganda University. Mathematics Series
Hacim	115
Basın numarası	3
DOI'lar	https://doi.org/10.31489/2024m3/66-76
Yayın durumu	Yayınlanan - 2024

Belgeye Erişim

10.31489/2024m3/66-76

Diger dosyalar ve linkler

Link to publication in Scopus

Bahcesehir University Researchers Provide New Study Findings on Mathematics (Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition)
Ashyralyev, C.
16/10/24
1 öğe / Medya kapsamı
Basın/Medya: ???clipping.clippingtypes.clipping.clipping???

Bundan alıntı yap

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title = "Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition",

abstract = "We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.",

keywords = "boundary value problem, difference scheme, inverse problem, mixed problem, nonlocal condition, parabolic equation, source identification, stability, stability estimates, well-posedness",

author = "Charyyar Ashyralyyev and Ashyralyyeva, \{Tazegul Aydogdyevna\}",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors.",

year = "2024",

doi = "10.31489/2024m3/66-76",

language = "English",

volume = "115",

pages = "66--76",

journal = "Bulletin of the Karaganda University. Mathematics Series",

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T1 - Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

AU - Ashyralyyev, Charyyar

AU - Ashyralyyeva, Tazegul Aydogdyevna

PY - 2024

Y1 - 2024

N2 - We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.

AB - We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.

KW - boundary value problem

KW - difference scheme

KW - inverse problem

KW - mixed problem

KW - nonlocal condition

KW - parabolic equation

KW - source identification

KW - stability

KW - stability estimates

KW - well-posedness

UR - https://www.scopus.com/pages/publications/85206332182

U2 - 10.31489/2024m3/66-76

DO - 10.31489/2024m3/66-76

M3 - Article

AN - SCOPUS:85206332182

SN - 2518-7929

VL - 115

SP - 66

EP - 76

JO - Bulletin of the Karaganda University. Mathematics Series

JF - Bulletin of the Karaganda University. Mathematics Series

IS - 3

ER -

Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

Özet

Belgeye Erişim

Diger dosyalar ve linkler

Parmak izi

Basın / Medya

Bahcesehir University Researchers Provide New Study Findings on Mathematics (Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition)

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