A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The giv...
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Autor*in:	Amit Prakash [verfasserIn] Manish Goyal [verfasserIn] Haci Mehmet Baskonus [verfasserIn] Shivangi Gupta [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense

Übergeordnetes Werk:	In: AIMS Mathematics - AIMS Press, 2018, 5(2020), 2, Seite 979-1000
Übergeordnetes Werk:	volume:5 ; year:2020 ; number:2 ; pages:979-1000

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3934/math.2020068

Katalog-ID:	DOAJ032382766

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spelling	10.3934/math.2020068 doi (DE-627)DOAJ032382766 (DE-599)DOAJ90e19d2488b348fcb6cacc3ffbe89a9d DE-627 ger DE-627 rakwb eng QA1-939 Amit Prakash verfasserin aut A reliable hybrid numerical method for a time dependent vibration model of arbitrary order 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective. vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense Mathematics Manish Goyal verfasserin aut Haci Mehmet Baskonus verfasserin aut Shivangi Gupta verfasserin aut In AIMS Mathematics AIMS Press, 2018 5(2020), 2, Seite 979-1000 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:5 year:2020 number:2 pages:979-1000 https://doi.org/10.3934/math.2020068 kostenfrei https://doaj.org/article/90e19d2488b348fcb6cacc3ffbe89a9d kostenfrei https://www.aimspress.com/article/10.3934/math.2020068/fulltext.html kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 5 2020 2 979-1000
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allfieldsGer	10.3934/math.2020068 doi (DE-627)DOAJ032382766 (DE-599)DOAJ90e19d2488b348fcb6cacc3ffbe89a9d DE-627 ger DE-627 rakwb eng QA1-939 Amit Prakash verfasserin aut A reliable hybrid numerical method for a time dependent vibration model of arbitrary order 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective. vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense Mathematics Manish Goyal verfasserin aut Haci Mehmet Baskonus verfasserin aut Shivangi Gupta verfasserin aut In AIMS Mathematics AIMS Press, 2018 5(2020), 2, Seite 979-1000 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:5 year:2020 number:2 pages:979-1000 https://doi.org/10.3934/math.2020068 kostenfrei https://doaj.org/article/90e19d2488b348fcb6cacc3ffbe89a9d kostenfrei https://www.aimspress.com/article/10.3934/math.2020068/fulltext.html kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 5 2020 2 979-1000
allfieldsSound	10.3934/math.2020068 doi (DE-627)DOAJ032382766 (DE-599)DOAJ90e19d2488b348fcb6cacc3ffbe89a9d DE-627 ger DE-627 rakwb eng QA1-939 Amit Prakash verfasserin aut A reliable hybrid numerical method for a time dependent vibration model of arbitrary order 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective. vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense Mathematics Manish Goyal verfasserin aut Haci Mehmet Baskonus verfasserin aut Shivangi Gupta verfasserin aut In AIMS Mathematics AIMS Press, 2018 5(2020), 2, Seite 979-1000 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:5 year:2020 number:2 pages:979-1000 https://doi.org/10.3934/math.2020068 kostenfrei https://doaj.org/article/90e19d2488b348fcb6cacc3ffbe89a9d kostenfrei https://www.aimspress.com/article/10.3934/math.2020068/fulltext.html kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 5 2020 2 979-1000
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topic_facet	vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense Mathematics
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callnumber-first	Q - Science
author	Amit Prakash
spellingShingle	Amit Prakash misc QA1-939 misc vibration equation of fractional order misc q-homotopy analysis sumudu transform method (q-hastm) misc fractional derivative in caputo sense misc Mathematics A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
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topic_title	QA1-939 A reliable hybrid numerical method for a time dependent vibration model of arbitrary order vibration equation of fractional order q-homotopy analysis sumudu transform method (q-hastm) fractional derivative in caputo sense
topic	misc QA1-939 misc vibration equation of fractional order misc q-homotopy analysis sumudu transform method (q-hastm) misc fractional derivative in caputo sense misc Mathematics
topic_unstemmed	misc QA1-939 misc vibration equation of fractional order misc q-homotopy analysis sumudu transform method (q-hastm) misc fractional derivative in caputo sense misc Mathematics
topic_browse	misc QA1-939 misc vibration equation of fractional order misc q-homotopy analysis sumudu transform method (q-hastm) misc fractional derivative in caputo sense misc Mathematics
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title	A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
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title_full	A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
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author_browse	Amit Prakash Manish Goyal Haci Mehmet Baskonus Shivangi Gupta
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title_sort	reliable hybrid numerical method for a time dependent vibration model of arbitrary order
callnumber	QA1-939
title_auth	A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
abstract	In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.
abstractGer	In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.
abstract_unstemmed	In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter <em<ħ</em< suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.
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title_short	A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
url	https://doi.org/10.3934/math.2020068 https://doaj.org/article/90e19d2488b348fcb6cacc3ffbe89a9d https://www.aimspress.com/article/10.3934/math.2020068/fulltext.html https://doaj.org/toc/2473-6988
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author2	Manish Goyal Haci Mehmet Baskonus Shivangi Gupta
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A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

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Zugang & Verfügbarkeit

Vorhandene Bände

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