Numerical solution of the boundary value problems for the parabolic equation with involution

A. Ashyralyev; C. Ashyralyyev; A. M.S. Ahmed

doi:10.31489/2023M1/48-57

Numerical solution of the boundary value problems for the parabolic equation with involution

A. Ashyralyev, C. Ashyralyyev, A. M.S. Ahmed

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

1 Alıntı (Scopus)

Özet

In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	48-57
Sayfa sayısı	10
Dergi	Bulletin of the Karaganda University. Mathematics Series
Hacim	109
Basın numarası	1
DOI'lar	https://doi.org/10.31489/2023M1/48-57
Yayın durumu	Yayınlanan - 2023
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.31489/2023M1/48-57

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Bundan alıntı yap

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title = "Numerical solution of the boundary value problems for the parabolic equation with involution",

abstract = "In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.",

keywords = "boundary value problem, finite difference scheme, involution, parabolic, stability estimate",

author = "A. Ashyralyev and C. Ashyralyyev and Ahmed, {A. M.S.}",

year = "2023",

doi = "10.31489/2023M1/48-57",

language = "English",

volume = "109",

pages = "48--57",

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

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publisher = "E.A.Buketov Karaganda State University Publish House",

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TY - JOUR

T1 - Numerical solution of the boundary value problems for the parabolic equation with involution

AU - Ashyralyev, A.

AU - Ashyralyyev, C.

AU - Ahmed, A. M.S.

PY - 2023

Y1 - 2023

N2 - In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.

AB - In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.

KW - boundary value problem

KW - finite difference scheme

KW - involution

KW - parabolic

KW - stability estimate

UR - http://www.scopus.com/inward/record.url?scp=85160282861&partnerID=8YFLogxK

U2 - 10.31489/2023M1/48-57

DO - 10.31489/2023M1/48-57

M3 - Article

AN - SCOPUS:85160282861

SN - 2518-7929

VL - 109

SP - 48

EP - 57

JO - Bulletin of the Karaganda University. Mathematics Series

JF - Bulletin of the Karaganda University. Mathematics Series

IS - 1

ER -

Numerical solution of the boundary value problems for the parabolic equation with involution

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