Solution of the delayed single degree of freedom system equation by exponential matrix method

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dc.contributor.authorÇevik M.
dc.contributor.authorMustafa Bahşi M.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:15:24Z
dc.date.available2024-07-22T08:15:24Z
dc.date.issued2014
dc.description.abstractIn this paper, an exponential collocation method for the solution linear delay differential equations with constant delay is presented. The utility of this matrix based method is that it is very systematic and by writing a Maple program, any type of second order linear differential delay equation can be solved easily. The method is applied to three different types of delay equations; linear oscillator with delay (i) in the restoring force term, (ii) in the damping term, and (iii) in the acceleration term. Time response curves have been plotted for each type and the effect of the parameters of the delay terms has been shown. An error analysis based on residual function is carried out to show the accuracy of the results. © 2014 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2014.05.111
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16728
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectComputational methods
dc.subjectMathematical techniques
dc.subjectTime delay
dc.subjectAcceleration terms
dc.subjectDelay differential equations
dc.subjectDifferential delay equations
dc.subjectExponential collocation methods
dc.subjectExponential matrices
dc.subjectLinear oscillator
dc.subjectResidual functions
dc.subjectSingle degree of freedom systems
dc.subjectDifferential equations
dc.titleSolution of the delayed single degree of freedom system equation by exponential matrix method
dc.typeArticle

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