dc.creatorLuis Hernández Martínez
dc.creatorLibrado Arturo Sarmiento Reyes
dc.date2012
dc.date.accessioned2023-07-25T16:24:58Z
dc.date.available2023-07-25T16:24:58Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2108
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7807289
dc.descriptionNonlinear differential equations have applications in the modelling area for a broad variety of phenomena and physical processes; having applications for all areas in science and engineering. At the present time, the homotopy perturbation method (HPM) is amply used to solve in an approximate or exact manner such nonlinear differential equations. This method has found wide acceptance for its versatility and ease of use. The origin of the HPM is found in the coupling of homotopy methods with perturbation methods. Homotopy methods are a well established research area with applications, in particular, an applied branch of such methods are the homotopy continuation methods, which are employed on the numerical solution of nonlinear algebraic equation systems. Therefore, this paper presents two modified versions of standard HPM method inspired in homotopy continuation methods. Both modified HPMs deal with nonlinearities distribution of the nonlinear differential equation. Besides, we will use a calcium-induced calcium released mechanism model as study case to test the proposed techniques. Finally, results will be discussed and possible research lines will be proposed using this work as a starting point.
dc.formatapplication/pdf
dc.languageeng
dc.publisherMathematical Problems in Engineering
dc.relationcitation:Vázquez-Leal, Héctor, et al., (2012), Modified HPMs Inspired by Homotopy Continuation Methods, Mathematical Problems in Engineering, Vol. 2012:1-20
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/Homotopy perturbation method
dc.subjectinfo:eu-repo/classification/Inspec/HPMs
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.titleModified HPMs Inspired by Homotopy Continuation Methods
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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