Show simple item record

dc.contributor.authorBrahim Benhammouda
dc.contributor.authorHector Vazquez-Leal
dc.contributor.authorLuis Hernandez-Martinez
dc.date.accessioned2019-10-25T20:01:49Z
dc.date.available2019-10-25T20:01:49Z
dc.date.created2017-09-28 23:26
dc.date.issued2014-01-01
dc.identifieroai:doaj.org/article:2e3ed70e57224c14813aef1d87b308e0
dc.identifier1026-0226
dc.identifier1607-887X
dc.identifier10.1155/2014/645726
dc.identifierhttps://doaj.org/article/2e3ed70e57224c14813aef1d87b308e0
dc.identifier.urihttp://hdl.handle.net/20.500.12424/1499864
dc.description.abstractThis work presents the application of the differential transform method (DTM) to the model of pollution for a system of three lakes interconnected by channels. Three input models (periodic, exponentially decaying, and linear) are solved to show that DTM can provide analytical solutions of pollution model in convergent series form. In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful strategy to extend the domain of convergence of the approximate solutions. The Fehlberg fourth-fifth order Runge-Kutta method with degree four interpolant (RKF45) numerical solution of the lakes system problem is used as a reference to compare with the analytical approximations showing the high accuracy of the results. The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend of a perturbation parameter.
dc.languageEN
dc.publisherHindawi Publishing Corporation
dc.relation.ispartofhttp://dx.doi.org/10.1155/2014/645726
dc.relation.ispartofhttps://doaj.org/toc/1026-0226
dc.relation.ispartofhttps://doaj.org/toc/1607-887X
dc.sourceDiscrete Dynamics in Nature and Society, Vol 2014 (2014)
dc.subjectMathematics
dc.subjectQA1-939
dc.subjectSocial sciences (General)
dc.subjectH1-99
dc.titleModified Differential Transform Method for Solving the Model of Pollution for a System of Lakes
dc.typeArticle
ge.collectioncodeOAIDATA
ge.dataimportlabelOAI metadata object
ge.identifier.legacyglobethics:11561893
ge.identifier.permalinkhttps://www.globethics.net/gtl/11561893
ge.lastmodificationdate2017-09-28 23:26
ge.lastmodificationuseradmin@pointsoftware.ch (import)
ge.submissions0
ge.oai.exportid149001
ge.oai.repositoryid52
ge.oai.setnameLCC:Mathematics
ge.oai.setnameLCC:Social sciences (General)
ge.oai.setspecTENDOk1hdGhlbWF0aWNz
ge.oai.setspecTENDOlNvY2lhbCBzY2llbmNlcyAoR2VuZXJhbCk~
ge.oai.streamid5
ge.setnameGlobeTheoLib
ge.setspecglobetheolib
ge.linkhttps://doaj.org/article/2e3ed70e57224c14813aef1d87b308e0


This item appears in the following Collection(s)

Show simple item record