Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

Allaberen Ashyralyev; Charyyar Ashyralyyev

doi:10.1063/5.0114878

Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

Allaberen Ashyralyev, Charyyar Ashyralyyev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

Original language	English
Title of host publication	5th International Conference of Mathematical Sciences, ICMS 2021
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Ozay Gurtug, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgan, Onder Sahinaslan, Charyyar Ashyralyyev, Sefa Anil Sezer, Arap Duran Turkoglu, Oruc Raif Onvural, Hakan Sahin
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735442580
DOIs	https://doi.org/10.1063/5.0114878
Publication status	Published - 7 Nov 2022
Externally published	Yes
Event	5th International Conference of Mathematical Sciences, ICMS 2021 - Istanbul, Turkey Duration: 23 Jun 2021 → 27 Jun 2021

Publication series

Name	AIP Conference Proceedings
Volume	2483
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Conference of Mathematical Sciences, ICMS 2021
Country/Territory	Turkey
City	Istanbul
Period	23/06/21 → 27/06/21

Keywords

Difference Scheme
parabolic equation
time-nonlocal problem

Access to Document

10.1063/5.0114878

Cite this

Ashyralyev, A., & Ashyralyyev, C. (2022). Numerical Solution of Time-Nonlocal Problem for Parabolic Equation. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, O. Gurtug, E. Savas, N. D. Aral, F. C. Ucgan, O. Sahinaslan, C. Ashyralyyev, S. A. Sezer, A. D. Turkoglu, O. R. Onvural, & H. Sahin (Eds.), 5th International Conference of Mathematical Sciences, ICMS 2021 Article 060001 (AIP Conference Proceedings; Vol. 2483). American Institute of Physics Inc.. https://doi.org/10.1063/5.0114878

Ashyralyev, Allaberen ; Ashyralyyev, Charyyar. / Numerical Solution of Time-Nonlocal Problem for Parabolic Equation. 5th International Conference of Mathematical Sciences, ICMS 2021. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Allaberen Ashyralyev ; Robin Harte ; Mehmet Dik ; Ibrahim Canak ; Hacer Sengul Kandemir ; Mujgan Tez ; Ozay Gurtug ; Ekrem Savas ; Nazlim Deniz Aral ; Filiz Cagatay Ucgan ; Onder Sahinaslan ; Charyyar Ashyralyyev ; Sefa Anil Sezer ; Arap Duran Turkoglu ; Oruc Raif Onvural ; Hakan Sahin. American Institute of Physics Inc., 2022. (AIP Conference Proceedings).

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title = "Numerical Solution of Time-Nonlocal Problem for Parabolic Equation",

abstract = "In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.",

keywords = "Difference Scheme, parabolic equation, time-nonlocal problem",

author = "Allaberen Ashyralyev and Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; 5th International Conference of Mathematical Sciences, ICMS 2021 ; Conference date: 23-06-2021 Through 27-06-2021",

year = "2022",

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doi = "10.1063/5.0114878",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Allaberen Ashyralyev and Robin Harte and Mehmet Dik and Ibrahim Canak and Kandemir, {Hacer Sengul} and Mujgan Tez and Ozay Gurtug and Ekrem Savas and Aral, {Nazlim Deniz} and Ucgan, {Filiz Cagatay} and Onder Sahinaslan and Charyyar Ashyralyyev and Sezer, {Sefa Anil} and Turkoglu, {Arap Duran} and Onvural, {Oruc Raif} and Hakan Sahin",

booktitle = "5th International Conference of Mathematical Sciences, ICMS 2021",

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Ashyralyev, A & Ashyralyyev, C 2022, Numerical Solution of Time-Nonlocal Problem for Parabolic Equation. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, O Gurtug, E Savas, ND Aral, FC Ucgan, O Sahinaslan, C Ashyralyyev, SA Sezer, AD Turkoglu, OR Onvural & H Sahin (eds), 5th International Conference of Mathematical Sciences, ICMS 2021., 060001, AIP Conference Proceedings, vol. 2483, American Institute of Physics Inc., 5th International Conference of Mathematical Sciences, ICMS 2021, Istanbul, Turkey, 23/06/21. https://doi.org/10.1063/5.0114878

Numerical Solution of Time-Nonlocal Problem for Parabolic Equation. / Ashyralyev, Allaberen ; Ashyralyyev, Charyyar.
5th International Conference of Mathematical Sciences, ICMS 2021. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Allaberen Ashyralyev; Robin Harte; Mehmet Dik; Ibrahim Canak; Hacer Sengul Kandemir; Mujgan Tez; Ozay Gurtug; Ekrem Savas; Nazlim Deniz Aral; Filiz Cagatay Ucgan; Onder Sahinaslan; Charyyar Ashyralyyev; Sefa Anil Sezer; Arap Duran Turkoglu; Oruc Raif Onvural; Hakan Sahin. American Institute of Physics Inc., 2022. 060001 (AIP Conference Proceedings; Vol. 2483).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ashyralyev, Allaberen

AU - Ashyralyyev, Charyyar

PY - 2022/11/7

Y1 - 2022/11/7

N2 - In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

AB - In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

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KW - parabolic equation

KW - time-nonlocal problem

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BT - 5th International Conference of Mathematical Sciences, ICMS 2021

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Ashyralyev, Allaberen

A2 - Harte, Robin

A2 - Dik, Mehmet

A2 - Canak, Ibrahim

A2 - Kandemir, Hacer Sengul

A2 - Tez, Mujgan

A2 - Gurtug, Ozay

A2 - Savas, Ekrem

A2 - Aral, Nazlim Deniz

A2 - Ucgan, Filiz Cagatay

A2 - Sahinaslan, Onder

A2 - Ashyralyyev, Charyyar

A2 - Sezer, Sefa Anil

A2 - Turkoglu, Arap Duran

A2 - Onvural, Oruc Raif

A2 - Sahin, Hakan

PB - American Institute of Physics Inc.

T2 - 5th International Conference of Mathematical Sciences, ICMS 2021

Y2 - 23 June 2021 through 27 June 2021

ER -

Ashyralyev A , Ashyralyyev C. Numerical Solution of Time-Nonlocal Problem for Parabolic Equation. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Gurtug O, Savas E, Aral ND, Ucgan FC, Sahinaslan O, Ashyralyyev C, Sezer SA, Turkoglu AD, Onvural OR, Sahin H, editors, 5th International Conference of Mathematical Sciences, ICMS 2021. American Institute of Physics Inc. 2022. 060001. (AIP Conference Proceedings). doi: 10.1063/5.0114878

Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

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