Adapted block hybrid method for the numerical solution of duffing equations and related problems

Abdulganiy, RI; Wen, S; Feng, Y; Zhang, W; Tang, N

Adapted block hybrid method for the numerical solution of duffing equations and related problems

Abdulganiy, RI Wen, S

Feng, Y Zhang, W Tang, N

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Publisher:: American Institute of Mathematical Sciences (AIMS)
Publication Type:: Journal Article
Citation:: AIMS Mathematics, 2021, 6, (12), pp. 14013-14034
Issue Date:: 2021-01-01

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Field	Value	Language
dc.contributor.author	Abdulganiy, RI
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.contributor.author	Feng, Y
dc.contributor.author	Zhang, W
dc.contributor.author	Tang, N
dc.date.accessioned	2022-03-09T04:50:48Z
dc.date.available	2022-03-09T04:50:48Z
dc.date.issued	2021-01-01
dc.identifier.citation	AIMS Mathematics, 2021, 6, (12), pp. 14013-14034
dc.identifier.issn	2473-6988
dc.identifier.issn	2473-6988
dc.identifier.uri	http://hdl.handle.net/10453/155098
dc.description.abstract	Problems of non-linear equations to model real-life phenomena have a long history in science and engineering. One of the popular of such non-linear equations is the Duffing equation. An adapted block hybrid numerical integrator that is dependent on a fixed frequency and fixed step length is proposed for the integration of Duffing equations. The stability and convergence of the method are demonstrated; its accuracy and efficiency are also established.
dc.language	en
dc.publisher	American Institute of Mathematical Sciences (AIMS)
dc.relation.ispartof	AIMS Mathematics
dc.relation.isbasedon	10.3934/math.2021810
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Adapted block hybrid method for the numerical solution of duffing equations and related problems
dc.type	Journal Article
utslib.citation.volume	6
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	open_access	*
dc.date.updated	2022-03-09T04:50:47Z
pubs.issue	12
pubs.publication-status	Published
pubs.volume	6
utslib.citation.issue	12

Abstract:

Problems of non-linear equations to model real-life phenomena have a long history in science and engineering. One of the popular of such non-linear equations is the Duffing equation. An adapted block hybrid numerical integrator that is dependent on a fixed frequency and fixed step length is proposed for the integration of Duffing equations. The stability and convergence of the method are demonstrated; its accuracy and efficiency are also established.

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http://hdl.handle.net/10453/155098