On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations

The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decompos...
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Autor*in:	Allaberen Ashyralyev [verfasserIn] Evren Hınçal [verfasserIn] Suleiman Ibrahim [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	time delay third order differential equations difference scheme stability

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 12(2020), 6, p 1033
Übergeordnetes Werk:	volume:12 ; year:2020 ; number:6, p 1033

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym12061033

Katalog-ID:	DOAJ07927899X

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520			\|a The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested.
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allfieldsSound	10.3390/sym12061033 doi (DE-627)DOAJ07927899X (DE-599)DOAJ9ac18549ecf34a4f8e92adac97e77d4d DE-627 ger DE-627 rakwb eng QA1-939 Allaberen Ashyralyev verfasserin aut On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested. time delay third order differential equations difference scheme stability Mathematics Evren Hınçal verfasserin aut Suleiman Ibrahim verfasserin aut In Symmetry MDPI AG, 2009 12(2020), 6, p 1033 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:12 year:2020 number:6, p 1033 https://doi.org/10.3390/sym12061033 kostenfrei https://doaj.org/article/9ac18549ecf34a4f8e92adac97e77d4d kostenfrei https://www.mdpi.com/2073-8994/12/6/1033 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 12 2020 6, p 1033
language	English
source	In Symmetry 12(2020), 6, p 1033 volume:12 year:2020 number:6, p 1033
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topic_facet	time delay third order differential equations difference scheme stability Mathematics
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callnumber-first	Q - Science
author	Allaberen Ashyralyev
spellingShingle	Allaberen Ashyralyev misc QA1-939 misc time delay misc third order differential equations misc difference scheme misc stability misc Mathematics On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations
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topic_title	QA1-939 On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations time delay third order differential equations difference scheme stability
topic	misc QA1-939 misc time delay misc third order differential equations misc difference scheme misc stability misc Mathematics
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title	On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations
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title_sort	on the absolute stable difference scheme for third order delay partial differential equations
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title_auth	On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations
abstract	The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested.
abstractGer	The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested.
abstract_unstemmed	The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and analyzed. This difference scheme is built on the Taylor’s decomposition method on three and two points. The theorem on the stability of the presented difference scheme is proven. In practice, stability estimates for the solutions of three-step difference schemes for different types of delay partial differential equations are obtained. Finally, in order to ensure the coincidence between experimental and theoretical results and to clarify how efficient the proposed scheme is, some numerical experiments are tested.
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On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations

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Zugang & Verfügbarkeit

Vorhandene Bände

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