Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions

Allaberen Ashyralyev; Saad Bello Muazu; Charyyar Ashyralyyev

doi:10.1063/5.0194795

Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions

Allaberen Ashyralyev, Saad Bello Muazu, Charyyar Ashyralyyev

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

Abstract

In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashyralyyev, Charyyar Ashyralyyev, Abdullah S. Erdogan, Makhmud Sadybekov
Publisher	American Institute of Physics Inc.
Edition	1
ISBN (Electronic)	9780735448360
DOIs	https://doi.org/10.1063/5.0194795
Publication status	Published - 12 Feb 2024
Externally published	Yes
Event	6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 - Antalya, Turkey Duration: 31 Oct 2022 → 6 Nov 2022

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	3085
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	6th International Conference on Analysis and Applied Mathematics, ICAAM 2022
Country/Territory	Turkey
City	Antalya
Period	31/10/22 → 6/11/22

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10.1063/5.0194795

Cite this

Ashyralyev, A., Muazu, S. B., & Ashyralyyev, C. (2024). Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions. In A. Ashyralyev, A. Ashyralyev, C. Ashyralyyev, C. Ashyralyyev, A. S. Erdogan, & M. Sadybekov (Eds.), AIP Conference Proceedings (1 ed.). Article 020018 (AIP Conference Proceedings; Vol. 3085, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0194795

Ashyralyev, Allaberen ; Muazu, Saad Bello ; Ashyralyyev, Charyyar. / Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions. AIP Conference Proceedings. editor / Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashyralyyev ; Charyyar Ashyralyyev ; Abdullah S. Erdogan ; Makhmud Sadybekov. 1. ed. American Institute of Physics Inc., 2024. (AIP Conference Proceedings; 1).

@inproceedings{45aa0206ec9145318eaa40e7befbc292,

title = "Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions",

abstract = "In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method.",

author = "Allaberen Ashyralyev and Muazu, {Saad Bello} and Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2024 American Institute of Physics Inc.. All rights reserved.; 6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 ; Conference date: 31-10-2022 Through 06-11-2022",

year = "2024",

month = feb,

day = "12",

doi = "10.1063/5.0194795",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

number = "1",

editor = "Allaberen Ashyralyev and Allaberen Ashyralyev and Charyyar Ashyralyyev and Charyyar Ashyralyyev and Erdogan, {Abdullah S.} and Makhmud Sadybekov",

booktitle = "AIP Conference Proceedings",

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Ashyralyev, A, Muazu, SB & Ashyralyyev, C 2024, Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions. in A Ashyralyev, A Ashyralyev, C Ashyralyyev, C Ashyralyyev, AS Erdogan & M Sadybekov (eds), AIP Conference Proceedings. 1 edn, 020018, AIP Conference Proceedings, no. 1, vol. 3085, American Institute of Physics Inc., 6th International Conference on Analysis and Applied Mathematics, ICAAM 2022, Antalya, Turkey, 31/10/22. https://doi.org/10.1063/5.0194795

Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions. / Ashyralyev, Allaberen; Muazu, Saad Bello; Ashyralyyev, Charyyar.
AIP Conference Proceedings. ed. / Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashyralyyev; Charyyar Ashyralyyev; Abdullah S. Erdogan; Makhmud Sadybekov. 1. ed. American Institute of Physics Inc., 2024. 020018 (AIP Conference Proceedings; Vol. 3085, No. 1).

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

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N2 - In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method.

AB - In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method.

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A2 - Ashyralyyev, Charyyar

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Y2 - 31 October 2022 through 6 November 2022

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Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions

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