HPM Applied to Solve Nonlinear Circuits: A Study Case

dc.creatorLuis Hernández Martínez
dc.date2012
dc.date.accessioned2023-07-25T16:24:54Z
dc.date.available2023-07-25T16:24:54Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2075
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807257
dc.descriptionIn this paper, the homotopy perturbation method HPM, is employed to obtain an approximate solution for the nonlinear differential equation which describes an alternating current RC circuit, taking into account the effect of a nonlinear resistance on the current. In order to compare this solution, the problem is solved using two homotopy approaches: the standard HPM method and a modified version of HPM. From these methods, two different approximate solutions are obtained. Comparison with exact solution shows that the HPM method is extremely efficient if the initial guess is chosen adequately.
dc.formatapplication/pdf
dc.languageeng
dc.publisherApplied Mathematical Sciences
dc.relationcitation:Filobello-Nino, U., et al., (2012), HPM Applied to Solve Nonlinear Circuits: A Study Case, Applied Mathematical Sciences, Vol. 6(87): 4331 – 4344.
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Perturbation method
dc.subjectinfo:eu-repo/classification/Inspec/Nonlinear problems
dc.subjectinfo:eu-repo/classification/Inspec/Approximation methods
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2203
dc.subjectinfo:eu-repo/classification/cti/2203
dc.titleHPM Applied to Solve Nonlinear Circuits: A Study Case
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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