A Note on Parabolic Difference Equations on Manifold

Allaberen Ashyralyev; Fatih Hezenci; Yasar Sozen

doi:10.1063/5.0115369

A Note on Parabolic Difference Equations on Manifold

Allaberen Ashyralyev
, Fatih Hezenci
, Yasar Sozen

Topoloji Anabilim Dalı

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

Özet

In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	5th International Conference of Mathematical Sciences, ICMS 2021
Editörler	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
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735442580
DOI'lar	https://doi.org/10.1063/5.0115369
Yayın durumu	Yayınlandı - 7 Kas 2022
Etkinlik	5th International Conference of Mathematical Sciences, ICMS 2021 - Istanbul, !!Turkey Süre: 23 Haz 2021 → 27 Haz 2021

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	2483
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	5th International Conference of Mathematical Sciences, ICMS 2021
Ülke/Bölge	!!Turkey
Şehir	Istanbul
Periyot	23/06/21 → 27/06/21

Belgeye Erişim

10.1063/5.0115369

Diger dosyalar ve linkler

Link to publication in Scopus

Bundan alıntı yap

Ashyralyev, A., Hezenci, F., & Sozen, Y. (2022). A Note on Parabolic Difference Equations on Manifold. 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 Makale 060003 (AIP Conference Proceedings; Hac. 2483). American Institute of Physics Inc.. https://doi.org/10.1063/5.0115369

Ashyralyev, Allaberen ; Hezenci, Fatih ; Sozen, Yasar. / A Note on Parabolic Difference Equations on Manifold. 5th International Conference of Mathematical Sciences, ICMS 2021. editör / 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).

@inproceedings{195493c3e6304c609df44328ef06c53f,

title = "A Note on Parabolic Difference Equations on Manifold",

abstract = "In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various H{\"o}lder norms for the solutions of such boundary value problems. Furthermore, numerical results are given.",

keywords = "Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness",

author = "Allaberen Ashyralyev and Fatih Hezenci and Yasar Sozen",

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",

month = nov,

day = "7",

doi = "10.1063/5.0115369",

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",

}

Ashyralyev, A, Hezenci, F & Sozen, Y 2022, A Note on Parabolic Difference Equations on Manifold. 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., 060003, AIP Conference Proceedings, hac. 2483, American Institute of Physics Inc., 5th International Conference of Mathematical Sciences, ICMS 2021, Istanbul, !!Turkey, 23/06/21. https://doi.org/10.1063/5.0115369

A Note on Parabolic Difference Equations on Manifold. / Ashyralyev, Allaberen; Hezenci, Fatih; Sozen, Yasar.
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. 060003 (AIP Conference Proceedings; Hac. 2483).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - A Note on Parabolic Difference Equations on Manifold

AU - Ashyralyev, Allaberen

AU - Hezenci, Fatih

AU - Sozen, Yasar

PY - 2022/11/7

Y1 - 2022/11/7

N2 - In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given.

AB - In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given.

KW - Difference equations on manifolds

KW - difference schemes

KW - self-adjoint positive definite operator

KW - well-posedness

UR - https://www.scopus.com/pages/publications/85142525723

U2 - 10.1063/5.0115369

DO - 10.1063/5.0115369

M3 - Conference contribution

AN - SCOPUS:85142525723

T3 - AIP Conference Proceedings

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, Hezenci F, Sozen Y. A Note on Parabolic Difference Equations on Manifold. 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, editörler, 5th International Conference of Mathematical Sciences, ICMS 2021. American Institute of Physics Inc. 2022. 060003. (AIP Conference Proceedings). doi: 10.1063/5.0115369

A Note on Parabolic Difference Equations on Manifold

Özet

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Belgeye Erişim

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