Fixed-Term Homotopy

dc.creatorLibrado Arturo Sarmiento Reyes
dc.creatorALEJANDRO DIAZ SANCHEZ
dc.date2013-02-13
dc.date.accessioned2023-07-25T16:25:27Z
dc.date.available2023-07-25T16:25:27Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2360
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807536
dc.descriptionA new tool for the solution of nonlinear differential equations is presented. The Fixed-Term Homotopy (FTH) delivers a high precision representation of the nonlinear differential equation using only a few linear algebraic terms. In addition to this tool, a procedure based on Laplace-Padé to deal with the truncate power series resulting from the FTH method is also proposed. In order to assess the benefits of this proposal, two nonlinear problems are solved and compared against other semianalytic methods. The obtained results show that FTH is a power tool capable of generating highly accurate solutions compared with other methods of literature.
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of Applied Mathematics
dc.relationcitation:Vazquez-Leal, Hector, et al., (2013), Fixed-Term Homotopy, Journal of Applied Mathematics, Vol. 2013(1):1–12
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Inspec/Nonlinear differential equations
dc.subjectinfo:eu-repo/classification/Inspec/Fixed-Term Homotopy
dc.subjectinfo:eu-repo/classification/Inspec/Linear algebraic
dc.subjectinfo:eu-repo/classification/Inspec/Laplace-Padé
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.titleFixed-Term Homotopy
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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